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Finding the Fourth Proportional to 120,458, 166,227.56 and 69,472.86

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Solution

The fourth proportional to 120,458, 166,227.56 and 69,472.86 is: 95,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,458 : 166,227.56 = 69,472.86 : x
  2. Step 2: Convert to fraction form
    120,458/166,227.56 = 69,472.86/x
  3. Step 3: Cross multiply
    120,458x = 166,227.56 × 69,472.86
  4. Step 4: Simplify right side
    120,458x = 11,548,304,004.02
  5. Step 5: Solve for x
    x = 11,548,304,004.02/120,458
  6. Step 6: Final answer
    x = 95,869.96

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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.