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Finding the Fourth Proportional to 71,387.40, 106,850.70 and 65,857.80

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Solution

The fourth proportional to 71,387.40, 106,850.70 and 65,857.80 is: 98,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,387.40 : 106,850.70 = 65,857.80 : x
  2. Step 2: Convert to fraction form
    71,387.40/106,850.70 = 65,857.80/x
  3. Step 3: Cross multiply
    71,387.40x = 106,850.70 × 65,857.80
  4. Step 4: Simplify right side
    71,387.40x = 7,036,952,030.46
  5. Step 5: Solve for x
    x = 7,036,952,030.46/71,387.40
  6. Step 6: Final answer
    x = 98,574.15

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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.