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Finding the Fourth Proportional to 123,096.48, 169,873.20 and 66,507.84

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Solution

The fourth proportional to 123,096.48, 169,873.20 and 66,507.84 is: 91,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,096.48 : 169,873.20 = 66,507.84 : x
  2. Step 2: Convert to fraction form
    123,096.48/169,873.20 = 66,507.84/x
  3. Step 3: Cross multiply
    123,096.48x = 169,873.20 × 66,507.84
  4. Step 4: Simplify right side
    123,096.48x = 11,297,899,605.89
  5. Step 5: Solve for x
    x = 11,297,899,605.89/123,096.48
  6. Step 6: Final answer
    x = 91,780.85

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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.