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Finding the Fourth Proportional to 122,279.86, 168,674.53 and 76,885.90

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Solution

The fourth proportional to 122,279.86, 168,674.53 and 76,885.90 is: 106,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,279.86 : 168,674.53 = 76,885.90 : x
  2. Step 2: Convert to fraction form
    122,279.86/168,674.53 = 76,885.90/x
  3. Step 3: Cross multiply
    122,279.86x = 168,674.53 × 76,885.90
  4. Step 4: Simplify right side
    122,279.86x = 12,968,693,046.13
  5. Step 5: Solve for x
    x = 12,968,693,046.13/122,279.86
  6. Step 6: Final answer
    x = 106,057.47

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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.