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Finding the Fourth Proportional to 122,753.53, 169,423.14 and 76,834.47

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Solution

The fourth proportional to 122,753.53, 169,423.14 and 76,834.47 is: 106,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,753.53 : 169,423.14 = 76,834.47 : x
  2. Step 2: Convert to fraction form
    122,753.53/169,423.14 = 76,834.47/x
  3. Step 3: Cross multiply
    122,753.53x = 169,423.14 × 76,834.47
  4. Step 4: Simplify right side
    122,753.53x = 13,017,537,167.64
  5. Step 5: Solve for x
    x = 13,017,537,167.64/122,753.53
  6. Step 6: Final answer
    x = 106,046.13

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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.