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Finding the Fourth Proportional to 78,732.61, 108,649.65 and 42,920.44

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Solution

The fourth proportional to 78,732.61, 108,649.65 and 42,920.44 is: 59,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732.61 : 108,649.65 = 42,920.44 : x
  2. Step 2: Convert to fraction form
    78,732.61/108,649.65 = 42,920.44/x
  3. Step 3: Cross multiply
    78,732.61x = 108,649.65 × 42,920.44
  4. Step 4: Simplify right side
    78,732.61x = 4,663,290,783.85
  5. Step 5: Solve for x
    x = 4,663,290,783.85/78,732.61
  6. Step 6: Final answer
    x = 59,229.47

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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.