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Finding the Fourth Proportional to 140,290, 210,435.54 and 35,108.68

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Solution

The fourth proportional to 140,290, 210,435.54 and 35,108.68 is: 52,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,290 : 210,435.54 = 35,108.68 : x
  2. Step 2: Convert to fraction form
    140,290/210,435.54 = 35,108.68/x
  3. Step 3: Cross multiply
    140,290x = 210,435.54 × 35,108.68
  4. Step 4: Simplify right side
    140,290x = 7,388,114,034.49
  5. Step 5: Solve for x
    x = 7,388,114,034.49/140,290
  6. Step 6: Final answer
    x = 52,663.16

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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.