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Finding the Fourth Proportional to 140,061.60, 209,966.04 and 51,253.20

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Solution

The fourth proportional to 140,061.60, 209,966.04 and 51,253.20 is: 76,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,061.60 : 209,966.04 = 51,253.20 : x
  2. Step 2: Convert to fraction form
    140,061.60/209,966.04 = 51,253.20/x
  3. Step 3: Cross multiply
    140,061.60x = 209,966.04 × 51,253.20
  4. Step 4: Simplify right side
    140,061.60x = 10,761,431,441.33
  5. Step 5: Solve for x
    x = 10,761,431,441.33/140,061.60
  6. Step 6: Final answer
    x = 76,833.56

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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.