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Finding the Fourth Proportional to 78,452.34, 117,641.44 and 28,497.61

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Solution

The fourth proportional to 78,452.34, 117,641.44 and 28,497.61 is: 42,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.34 : 117,641.44 = 28,497.61 : x
  2. Step 2: Convert to fraction form
    78,452.34/117,641.44 = 28,497.61/x
  3. Step 3: Cross multiply
    78,452.34x = 117,641.44 × 28,497.61
  4. Step 4: Simplify right side
    78,452.34x = 3,352,499,876.96
  5. Step 5: Solve for x
    x = 3,352,499,876.96/78,452.34
  6. Step 6: Final answer
    x = 42,732.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.