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Finding the Fourth Proportional to 71,381.40, 106,841.70 and 65,851.80

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Solution

The fourth proportional to 71,381.40, 106,841.70 and 65,851.80 is: 98,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,381.40 : 106,841.70 = 65,851.80 : x
  2. Step 2: Convert to fraction form
    71,381.40/106,841.70 = 65,851.80/x
  3. Step 3: Cross multiply
    71,381.40x = 106,841.70 × 65,851.80
  4. Step 4: Simplify right side
    71,381.40x = 7,035,718,260.06
  5. Step 5: Solve for x
    x = 7,035,718,260.06/71,381.40
  6. Step 6: Final answer
    x = 98,565.15

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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.