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Finding the Fourth Proportional to 151,950, 209,691.08 and 84,882

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Solution

The fourth proportional to 151,950, 209,691.08 and 84,882 is: 117,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,950 : 209,691.08 = 84,882 : x
  2. Step 2: Convert to fraction form
    151,950/209,691.08 = 84,882/x
  3. Step 3: Cross multiply
    151,950x = 209,691.08 × 84,882
  4. Step 4: Simplify right side
    151,950x = 17,798,998,252.56
  5. Step 5: Solve for x
    x = 17,798,998,252.56/151,950
  6. Step 6: Final answer
    x = 117,137.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.