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Finding the Fourth Proportional to 78,451.93, 108,265.78 and 42,644.36

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Solution

The fourth proportional to 78,451.93, 108,265.78 and 42,644.36 is: 58,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,451.93 : 108,265.78 = 42,644.36 : x
  2. Step 2: Convert to fraction form
    78,451.93/108,265.78 = 42,644.36/x
  3. Step 3: Cross multiply
    78,451.93x = 108,265.78 × 42,644.36
  4. Step 4: Simplify right side
    78,451.93x = 4,616,924,898.00
  5. Step 5: Solve for x
    x = 4,616,924,898.00/78,451.93
  6. Step 6: Final answer
    x = 58,850.37

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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.