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Finding the Fourth Proportional to 137,500.80, 206,054.40 and 78,211.20

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Solution

The fourth proportional to 137,500.80, 206,054.40 and 78,211.20 is: 117,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,500.80 : 206,054.40 = 78,211.20 : x
  2. Step 2: Convert to fraction form
    137,500.80/206,054.40 = 78,211.20/x
  3. Step 3: Cross multiply
    137,500.80x = 206,054.40 × 78,211.20
  4. Step 4: Simplify right side
    137,500.80x = 16,115,761,889.28
  5. Step 5: Solve for x
    x = 16,115,761,889.28/137,500.80
  6. Step 6: Final answer
    x = 117,204.86

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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.