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Finding the Fourth Proportional to 78,599.52, 108,466.88 and 42,789.44

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Solution

The fourth proportional to 78,599.52, 108,466.88 and 42,789.44 is: 59,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,599.52 : 108,466.88 = 42,789.44 : x
  2. Step 2: Convert to fraction form
    78,599.52/108,466.88 = 42,789.44/x
  3. Step 3: Cross multiply
    78,599.52x = 108,466.88 × 42,789.44
  4. Step 4: Simplify right side
    78,599.52x = 4,641,237,053.75
  5. Step 5: Solve for x
    x = 4,641,237,053.75/78,599.52
  6. Step 6: Final answer
    x = 59,049.18

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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.