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Finding the Fourth Proportional to 54,332.38, 74,978.94 and 31,687.08

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Solution

The fourth proportional to 54,332.38, 74,978.94 and 31,687.08 is: 43,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,332.38 : 74,978.94 = 31,687.08 : x
  2. Step 2: Convert to fraction form
    54,332.38/74,978.94 = 31,687.08/x
  3. Step 3: Cross multiply
    54,332.38x = 74,978.94 × 31,687.08
  4. Step 4: Simplify right side
    54,332.38x = 2,375,863,670.10
  5. Step 5: Solve for x
    x = 2,375,863,670.10/54,332.38
  6. Step 6: Final answer
    x = 43,728.32

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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.