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Finding the Fourth Proportional to 78,470.68, 108,291.66 and 42,663.15

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Solution

The fourth proportional to 78,470.68, 108,291.66 and 42,663.15 is: 58,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.68 : 108,291.66 = 42,663.15 : x
  2. Step 2: Convert to fraction form
    78,470.68/108,291.66 = 42,663.15/x
  3. Step 3: Cross multiply
    78,470.68x = 108,291.66 × 42,663.15
  4. Step 4: Simplify right side
    78,470.68x = 4,620,063,334.33
  5. Step 5: Solve for x
    x = 4,620,063,334.33/78,470.68
  6. Step 6: Final answer
    x = 58,876.30

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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.