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Finding the Fourth Proportional to 71,275.40, 106,938.70 and 68,715.40

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Solution

The fourth proportional to 71,275.40, 106,938.70 and 68,715.40 is: 103,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,275.40 : 106,938.70 = 68,715.40 : x
  2. Step 2: Convert to fraction form
    71,275.40/106,938.70 = 68,715.40/x
  3. Step 3: Cross multiply
    71,275.40x = 106,938.70 × 68,715.40
  4. Step 4: Simplify right side
    71,275.40x = 7,348,335,545.98
  5. Step 5: Solve for x
    x = 7,348,335,545.98/71,275.40
  6. Step 6: Final answer
    x = 103,097.78

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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.