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Finding the Fourth Proportional to 123,172.49, 169,978.29 and 66,583.86

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Solution

The fourth proportional to 123,172.49, 169,978.29 and 66,583.86 is: 91,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,172.49 : 169,978.29 = 66,583.86 : x
  2. Step 2: Convert to fraction form
    123,172.49/169,978.29 = 66,583.86/x
  3. Step 3: Cross multiply
    123,172.49x = 169,978.29 × 66,583.86
  4. Step 4: Simplify right side
    123,172.49x = 11,317,810,664.40
  5. Step 5: Solve for x
    x = 11,317,810,664.40/123,172.49
  6. Step 6: Final answer
    x = 91,885.87

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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.