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Finding the Fourth Proportional to 123,098.16, 169,762.70 and 80,680.08

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Solution

The fourth proportional to 123,098.16, 169,762.70 and 80,680.08 is: 111,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,098.16 : 169,762.70 = 80,680.08 : x
  2. Step 2: Convert to fraction form
    123,098.16/169,762.70 = 80,680.08/x
  3. Step 3: Cross multiply
    123,098.16x = 169,762.70 × 80,680.08
  4. Step 4: Simplify right side
    123,098.16x = 13,696,468,217.02
  5. Step 5: Solve for x
    x = 13,696,468,217.02/123,098.16
  6. Step 6: Final answer
    x = 111,264.61

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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.