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Finding the Fourth Proportional to 147,411.30, 220,854.51 and 68,387.70

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Solution

The fourth proportional to 147,411.30, 220,854.51 and 68,387.70 is: 102,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,411.30 : 220,854.51 = 68,387.70 : x
  2. Step 2: Convert to fraction form
    147,411.30/220,854.51 = 68,387.70/x
  3. Step 3: Cross multiply
    147,411.30x = 220,854.51 × 68,387.70
  4. Step 4: Simplify right side
    147,411.30x = 15,103,731,973.53
  5. Step 5: Solve for x
    x = 15,103,731,973.53/147,411.30
  6. Step 6: Final answer
    x = 102,459.80

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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.