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Finding the Fourth Proportional to 54,129.38, 74,708.05 and 31,475.38

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Solution

The fourth proportional to 54,129.38, 74,708.05 and 31,475.38 is: 43,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,129.38 : 74,708.05 = 31,475.38 : x
  2. Step 2: Convert to fraction form
    54,129.38/74,708.05 = 31,475.38/x
  3. Step 3: Cross multiply
    54,129.38x = 74,708.05 × 31,475.38
  4. Step 4: Simplify right side
    54,129.38x = 2,351,464,262.81
  5. Step 5: Solve for x
    x = 2,351,464,262.81/54,129.38
  6. Step 6: Final answer
    x = 43,441.55

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1.5x scale

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.