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Finding the Fourth Proportional to 120,764.52, 166,678.68 and 77,129.04

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Solution

The fourth proportional to 120,764.52, 166,678.68 and 77,129.04 is: 106,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,764.52 : 166,678.68 = 77,129.04 : x
  2. Step 2: Convert to fraction form
    120,764.52/166,678.68 = 77,129.04/x
  3. Step 3: Cross multiply
    120,764.52x = 166,678.68 × 77,129.04
  4. Step 4: Simplify right side
    120,764.52x = 12,855,766,576.87
  5. Step 5: Solve for x
    x = 12,855,766,576.87/120,764.52
  6. Step 6: Final answer
    x = 106,453.17

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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.