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Finding the Fourth Proportional to 178,709.34, 267,655.74 and 85,280.70

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Solution

The fourth proportional to 178,709.34, 267,655.74 and 85,280.70 is: 127,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,709.34 : 267,655.74 = 85,280.70 : x
  2. Step 2: Convert to fraction form
    178,709.34/267,655.74 = 85,280.70/x
  3. Step 3: Cross multiply
    178,709.34x = 267,655.74 × 85,280.70
  4. Step 4: Simplify right side
    178,709.34x = 22,825,868,866.22
  5. Step 5: Solve for x
    x = 22,825,868,866.22/178,709.34
  6. Step 6: Final answer
    x = 127,726.22

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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.