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Finding the Fourth Proportional to 123,102.48, 169,881.50 and 66,513.84

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Solution

The fourth proportional to 123,102.48, 169,881.50 and 66,513.84 is: 91,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,102.48 : 169,881.50 = 66,513.84 : x
  2. Step 2: Convert to fraction form
    123,102.48/169,881.50 = 66,513.84/x
  3. Step 3: Cross multiply
    123,102.48x = 169,881.50 × 66,513.84
  4. Step 4: Simplify right side
    123,102.48x = 11,299,470,909.96
  5. Step 5: Solve for x
    x = 11,299,470,909.96/123,102.48
  6. Step 6: Final answer
    x = 91,789.14

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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.