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Finding the Fourth Proportional to 78,248.16, 117,171.90 and 43,148.88

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Solution

The fourth proportional to 78,248.16, 117,171.90 and 43,148.88 is: 64,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,248.16 : 117,171.90 = 43,148.88 : x
  2. Step 2: Convert to fraction form
    78,248.16/117,171.90 = 43,148.88/x
  3. Step 3: Cross multiply
    78,248.16x = 117,171.90 × 43,148.88
  4. Step 4: Simplify right side
    78,248.16x = 5,055,836,252.47
  5. Step 5: Solve for x
    x = 5,055,836,252.47/78,248.16
  6. Step 6: Final answer
    x = 64,612.85

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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.