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Finding the Fourth Proportional to 78,455.92, 108,269.85 and 42,645.97

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Solution

The fourth proportional to 78,455.92, 108,269.85 and 42,645.97 is: 58,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.92 : 108,269.85 = 42,645.97 : x
  2. Step 2: Convert to fraction form
    78,455.92/108,269.85 = 42,645.97/x
  3. Step 3: Cross multiply
    78,455.92x = 108,269.85 × 42,645.97
  4. Step 4: Simplify right side
    78,455.92x = 4,617,272,775.00
  5. Step 5: Solve for x
    x = 4,617,272,775.00/78,455.92
  6. Step 6: Final answer
    x = 58,851.81

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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.