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Finding the Fourth Proportional to 178,265.61, 267,314.85 and 103,407.03

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Solution

The fourth proportional to 178,265.61, 267,314.85 and 103,407.03 is: 155,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,265.61 : 267,314.85 = 103,407.03 : x
  2. Step 2: Convert to fraction form
    178,265.61/267,314.85 = 103,407.03/x
  3. Step 3: Cross multiply
    178,265.61x = 267,314.85 × 103,407.03
  4. Step 4: Simplify right side
    178,265.61x = 27,642,234,713.40
  5. Step 5: Solve for x
    x = 27,642,234,713.40/178,265.61
  6. Step 6: Final answer
    x = 155,062.07

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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.