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Finding the Fourth Proportional to 122,605.68, 183,163.20 and 77,874.24

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Solution

The fourth proportional to 122,605.68, 183,163.20 and 77,874.24 is: 116,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,605.68 : 183,163.20 = 77,874.24 : x
  2. Step 2: Convert to fraction form
    122,605.68/183,163.20 = 77,874.24/x
  3. Step 3: Cross multiply
    122,605.68x = 183,163.20 × 77,874.24
  4. Step 4: Simplify right side
    122,605.68x = 14,263,694,995.97
  5. Step 5: Solve for x
    x = 14,263,694,995.97/122,605.68
  6. Step 6: Final answer
    x = 116,337.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.