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Finding the Fourth Proportional to 123,159.96, 169,978.38 and 89,280.60

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Solution

The fourth proportional to 123,159.96, 169,978.38 and 89,280.60 is: 123,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,159.96 : 169,978.38 = 89,280.60 : x
  2. Step 2: Convert to fraction form
    123,159.96/169,978.38 = 89,280.60/x
  3. Step 3: Cross multiply
    123,159.96x = 169,978.38 × 89,280.60
  4. Step 4: Simplify right side
    123,159.96x = 15,175,771,753.43
  5. Step 5: Solve for x
    x = 15,175,771,753.43/123,159.96
  6. Step 6: Final answer
    x = 123,220.01

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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.