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Finding the Fourth Proportional to 140,103,009.30, 210,154,513.95 and 140,103,009.30

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Solution

The fourth proportional to 140,103,009.30, 210,154,513.95 and 140,103,009.30 is: 210,154,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,103,009.30 : 210,154,513.95 = 140,103,009.30 : x
  2. Step 2: Convert to fraction form
    140,103,009.30/210,154,513.95 = 140,103,009.30/x
  3. Step 3: Cross multiply
    140,103,009.30x = 210,154,513.95 × 140,103,009.30
  4. Step 4: Simplify right side
    140,103,009.30x = 29,443,279,822,373,832
  5. Step 5: Solve for x
    x = 29,443,279,822,373,832/140,103,009.30
  6. Step 6: Final answer
    x = 210,154,513.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.