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Finding the Fourth Proportional to 78,540.90, 108,387.45 and 42,731.88

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Solution

The fourth proportional to 78,540.90, 108,387.45 and 42,731.88 is: 58,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540.90 : 108,387.45 = 42,731.88 : x
  2. Step 2: Convert to fraction form
    78,540.90/108,387.45 = 42,731.88/x
  3. Step 3: Cross multiply
    78,540.90x = 108,387.45 × 42,731.88
  4. Step 4: Simplify right side
    78,540.90x = 4,631,599,506.91
  5. Step 5: Solve for x
    x = 4,631,599,506.91/78,540.90
  6. Step 6: Final answer
    x = 58,970.54

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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.