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Finding the Fourth Proportional to 71,707.60, 107,561.40 and 51,893.20

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Solution

The fourth proportional to 71,707.60, 107,561.40 and 51,893.20 is: 77,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707.60 : 107,561.40 = 51,893.20 : x
  2. Step 2: Convert to fraction form
    71,707.60/107,561.40 = 51,893.20/x
  3. Step 3: Cross multiply
    71,707.60x = 107,561.40 × 51,893.20
  4. Step 4: Simplify right side
    71,707.60x = 5,581,705,242.48
  5. Step 5: Solve for x
    x = 5,581,705,242.48/71,707.60
  6. Step 6: Final answer
    x = 77,839.80

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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.