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Finding the Fourth Proportional to 78,672.86, 108,564.97 and 42,861.65

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Solution

The fourth proportional to 78,672.86, 108,564.97 and 42,861.65 is: 59,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,672.86 : 108,564.97 = 42,861.65 : x
  2. Step 2: Convert to fraction form
    78,672.86/108,564.97 = 42,861.65/x
  3. Step 3: Cross multiply
    78,672.86x = 108,564.97 × 42,861.65
  4. Step 4: Simplify right side
    78,672.86x = 4,653,273,203.58
  5. Step 5: Solve for x
    x = 4,653,273,203.58/78,672.86
  6. Step 6: Final answer
    x = 59,147.12

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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.