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Finding the Fourth Proportional to 122,377.96, 168,838.68 and 77,059.90

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Solution

The fourth proportional to 122,377.96, 168,838.68 and 77,059.90 is: 106,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,377.96 : 168,838.68 = 77,059.90 : x
  2. Step 2: Convert to fraction form
    122,377.96/168,838.68 = 77,059.90/x
  3. Step 3: Cross multiply
    122,377.96x = 168,838.68 × 77,059.90
  4. Step 4: Simplify right side
    122,377.96x = 13,010,691,796.93
  5. Step 5: Solve for x
    x = 13,010,691,796.93/122,377.96
  6. Step 6: Final answer
    x = 106,315.65

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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.