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Finding the Fourth Proportional to 138,070.01, 206,772.84 and 78,725.76

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Solution

The fourth proportional to 138,070.01, 206,772.84 and 78,725.76 is: 117,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,070.01 : 206,772.84 = 78,725.76 : x
  2. Step 2: Convert to fraction form
    138,070.01/206,772.84 = 78,725.76/x
  3. Step 3: Cross multiply
    138,070.01x = 206,772.84 × 78,725.76
  4. Step 4: Simplify right side
    138,070.01x = 16,278,348,976.36
  5. Step 5: Solve for x
    x = 16,278,348,976.36/138,070.01
  6. Step 6: Final answer
    x = 117,899.24

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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.