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Finding the Fourth Proportional to 137,967.30, 206,799.48 and 78,672.06

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Solution

The fourth proportional to 137,967.30, 206,799.48 and 78,672.06 is: 117,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,967.30 : 206,799.48 = 78,672.06 : x
  2. Step 2: Convert to fraction form
    137,967.30/206,799.48 = 78,672.06/x
  3. Step 3: Cross multiply
    137,967.30x = 206,799.48 × 78,672.06
  4. Step 4: Simplify right side
    137,967.30x = 16,269,341,098.53
  5. Step 5: Solve for x
    x = 16,269,341,098.53/137,967.30
  6. Step 6: Final answer
    x = 117,921.72

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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.