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Finding the Fourth Proportional to 122,861.66, 169,601.42 and 82,598.78

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Solution

The fourth proportional to 122,861.66, 169,601.42 and 82,598.78 is: 114,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,861.66 : 169,601.42 = 82,598.78 : x
  2. Step 2: Convert to fraction form
    122,861.66/169,601.42 = 82,598.78/x
  3. Step 3: Cross multiply
    122,861.66x = 169,601.42 × 82,598.78
  4. Step 4: Simplify right side
    122,861.66x = 14,008,870,378.27
  5. Step 5: Solve for x
    x = 14,008,870,378.27/122,861.66
  6. Step 6: Final answer
    x = 114,021.50

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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.