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Finding the Fourth Proportional to 78,212.59, 117,248.72 and 28,280.95

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Solution

The fourth proportional to 78,212.59, 117,248.72 and 28,280.95 is: 42,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,212.59 : 117,248.72 = 28,280.95 : x
  2. Step 2: Convert to fraction form
    78,212.59/117,248.72 = 28,280.95/x
  3. Step 3: Cross multiply
    78,212.59x = 117,248.72 × 28,280.95
  4. Step 4: Simplify right side
    78,212.59x = 3,315,904,753.36
  5. Step 5: Solve for x
    x = 3,315,904,753.36/78,212.59
  6. Step 6: Final answer
    x = 42,396.05

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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.