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Finding the Fourth Proportional to 78,387.60, 108,172.68 and 42,576.42

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Solution

The fourth proportional to 78,387.60, 108,172.68 and 42,576.42 is: 58,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,387.60 : 108,172.68 = 42,576.42 : x
  2. Step 2: Convert to fraction form
    78,387.60/108,172.68 = 42,576.42/x
  3. Step 3: Cross multiply
    78,387.60x = 108,172.68 × 42,576.42
  4. Step 4: Simplify right side
    78,387.60x = 4,605,605,456.21
  5. Step 5: Solve for x
    x = 4,605,605,456.21/78,387.60
  6. Step 6: Final answer
    x = 58,754.26

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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.