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Finding the Fourth Proportional to 78,651, 108,538.38 and 45,127.80

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Solution

The fourth proportional to 78,651, 108,538.38 and 45,127.80 is: 62,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,651 : 108,538.38 = 45,127.80 : x
  2. Step 2: Convert to fraction form
    78,651/108,538.38 = 45,127.80/x
  3. Step 3: Cross multiply
    78,651x = 108,538.38 × 45,127.80
  4. Step 4: Simplify right side
    78,651x = 4,898,098,304.96
  5. Step 5: Solve for x
    x = 4,898,098,304.96/78,651
  6. Step 6: Final answer
    x = 62,276.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.