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Finding the Fourth Proportional to 138,205.16, 206,975.52 and 78,860.90

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Solution

The fourth proportional to 138,205.16, 206,975.52 and 78,860.90 is: 118,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,205.16 : 206,975.52 = 78,860.90 : x
  2. Step 2: Convert to fraction form
    138,205.16/206,975.52 = 78,860.90/x
  3. Step 3: Cross multiply
    138,205.16x = 206,975.52 × 78,860.90
  4. Step 4: Simplify right side
    138,205.16x = 16,322,275,785.17
  5. Step 5: Solve for x
    x = 16,322,275,785.17/138,205.16
  6. Step 6: Final answer
    x = 118,101.78

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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.