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Finding the Fourth Proportional to 110,382.14, 152,330.61 and 78,174.38

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Solution

The fourth proportional to 110,382.14, 152,330.61 and 78,174.38 is: 107,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,382.14 : 152,330.61 = 78,174.38 : x
  2. Step 2: Convert to fraction form
    110,382.14/152,330.61 = 78,174.38/x
  3. Step 3: Cross multiply
    110,382.14x = 152,330.61 × 78,174.38
  4. Step 4: Simplify right side
    110,382.14x = 11,908,350,230.12
  5. Step 5: Solve for x
    x = 11,908,350,230.12/110,382.14
  6. Step 6: Final answer
    x = 107,882.95

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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.