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Finding the Fourth Proportional to 178,545.68, 267,888.24 and 78,635.66

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Solution

The fourth proportional to 178,545.68, 267,888.24 and 78,635.66 is: 117,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,545.68 : 267,888.24 = 78,635.66 : x
  2. Step 2: Convert to fraction form
    178,545.68/267,888.24 = 78,635.66/x
  3. Step 3: Cross multiply
    178,545.68x = 267,888.24 × 78,635.66
  4. Step 4: Simplify right side
    178,545.68x = 21,065,568,558.64
  5. Step 5: Solve for x
    x = 21,065,568,558.64/178,545.68
  6. Step 6: Final answer
    x = 117,984.20

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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.