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Finding the Fourth Proportional to 178,439.51, 267,708.68 and 82,406.07

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Solution

The fourth proportional to 178,439.51, 267,708.68 and 82,406.07 is: 123,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,439.51 : 267,708.68 = 82,406.07 : x
  2. Step 2: Convert to fraction form
    178,439.51/267,708.68 = 82,406.07/x
  3. Step 3: Cross multiply
    178,439.51x = 267,708.68 × 82,406.07
  4. Step 4: Simplify right side
    178,439.51x = 22,060,819,811.66
  5. Step 5: Solve for x
    x = 22,060,819,811.66/178,439.51
  6. Step 6: Final answer
    x = 123,631.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.