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Finding the Fourth Proportional to 54,159.68, 74,747.31 and 30,287.69

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Solution

The fourth proportional to 54,159.68, 74,747.31 and 30,287.69 is: 41,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,159.68 : 74,747.31 = 30,287.69 : x
  2. Step 2: Convert to fraction form
    54,159.68/74,747.31 = 30,287.69/x
  3. Step 3: Cross multiply
    54,159.68x = 74,747.31 × 30,287.69
  4. Step 4: Simplify right side
    54,159.68x = 2,263,923,353.61
  5. Step 5: Solve for x
    x = 2,263,923,353.61/54,159.68
  6. Step 6: Final answer
    x = 41,800.90

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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.