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Finding the Fourth Proportional to 276,147.68, 414,175.28 and 76,488.16

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Solution

The fourth proportional to 276,147.68, 414,175.28 and 76,488.16 is: 114,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,147.68 : 414,175.28 = 76,488.16 : x
  2. Step 2: Convert to fraction form
    276,147.68/414,175.28 = 76,488.16/x
  3. Step 3: Cross multiply
    276,147.68x = 414,175.28 × 76,488.16
  4. Step 4: Simplify right side
    276,147.68x = 31,679,505,084.68
  5. Step 5: Solve for x
    x = 31,679,505,084.68/276,147.68
  6. Step 6: Final answer
    x = 114,719.43

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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.