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Finding the Fourth Proportional to 140,642.90, 210,966.52 and 45,872.68

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Solution

The fourth proportional to 140,642.90, 210,966.52 and 45,872.68 is: 68,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,642.90 : 210,966.52 = 45,872.68 : x
  2. Step 2: Convert to fraction form
    140,642.90/210,966.52 = 45,872.68/x
  3. Step 3: Cross multiply
    140,642.90x = 210,966.52 × 45,872.68
  4. Step 4: Simplify right side
    140,642.90x = 9,677,599,662.67
  5. Step 5: Solve for x
    x = 9,677,599,662.67/140,642.90
  6. Step 6: Final answer
    x = 68,809.73

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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.