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Finding the Fourth Proportional to 138,164.72, 207,237.66 and 53,909.30

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Solution

The fourth proportional to 138,164.72, 207,237.66 and 53,909.30 is: 80,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.72 : 207,237.66 = 53,909.30 : x
  2. Step 2: Convert to fraction form
    138,164.72/207,237.66 = 53,909.30/x
  3. Step 3: Cross multiply
    138,164.72x = 207,237.66 × 53,909.30
  4. Step 4: Simplify right side
    138,164.72x = 11,172,037,184.24
  5. Step 5: Solve for x
    x = 11,172,037,184.24/138,164.72
  6. Step 6: Final answer
    x = 80,860.27

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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.