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Finding the Fourth Proportional to 138,357.52, 207,536.33 and 106,813.64

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Solution

The fourth proportional to 138,357.52, 207,536.33 and 106,813.64 is: 160,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,357.52 : 207,536.33 = 106,813.64 : x
  2. Step 2: Convert to fraction form
    138,357.52/207,536.33 = 106,813.64/x
  3. Step 3: Cross multiply
    138,357.52x = 207,536.33 × 106,813.64
  4. Step 4: Simplify right side
    138,357.52x = 22,167,711,625.42
  5. Step 5: Solve for x
    x = 22,167,711,625.42/138,357.52
  6. Step 6: Final answer
    x = 160,220.51

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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.