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Finding the Fourth Proportional to 122,780.86, 169,460.84 and 76,861.88

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Solution

The fourth proportional to 122,780.86, 169,460.84 and 76,861.88 is: 106,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,780.86 : 169,460.84 = 76,861.88 : x
  2. Step 2: Convert to fraction form
    122,780.86/169,460.84 = 76,861.88/x
  3. Step 3: Cross multiply
    122,780.86x = 169,460.84 × 76,861.88
  4. Step 4: Simplify right side
    122,780.86x = 13,025,078,729.11
  5. Step 5: Solve for x
    x = 13,025,078,729.11/122,780.86
  6. Step 6: Final answer
    x = 106,083.95

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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.