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Finding the Fourth Proportional to 54,332.38, 74,978.95 and 31,687.07

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Solution

The fourth proportional to 54,332.38, 74,978.95 and 31,687.07 is: 43,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,332.38 : 74,978.95 = 31,687.07 : x
  2. Step 2: Convert to fraction form
    54,332.38/74,978.95 = 31,687.07/x
  3. Step 3: Cross multiply
    54,332.38x = 74,978.95 × 31,687.07
  4. Step 4: Simplify right side
    54,332.38x = 2,375,863,237.18
  5. Step 5: Solve for x
    x = 2,375,863,237.18/54,332.38
  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.