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Finding the Fourth Proportional to 123,002.20, 169,724.28 and 69,283.80

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Solution

The fourth proportional to 123,002.20, 169,724.28 and 69,283.80 is: 95,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,002.20 : 169,724.28 = 69,283.80 : x
  2. Step 2: Convert to fraction form
    123,002.20/169,724.28 = 69,283.80/x
  3. Step 3: Cross multiply
    123,002.20x = 169,724.28 × 69,283.80
  4. Step 4: Simplify right side
    123,002.20x = 11,759,143,070.66
  5. Step 5: Solve for x
    x = 11,759,143,070.66/123,002.20
  6. Step 6: Final answer
    x = 95,601.08

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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.