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Finding the Fourth Proportional to 201,470.56, 278,049.74 and 115,440.95

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Solution

The fourth proportional to 201,470.56, 278,049.74 and 115,440.95 is: 159,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,470.56 : 278,049.74 = 115,440.95 : x
  2. Step 2: Convert to fraction form
    201,470.56/278,049.74 = 115,440.95/x
  3. Step 3: Cross multiply
    201,470.56x = 278,049.74 × 115,440.95
  4. Step 4: Simplify right side
    201,470.56x = 32,098,326,132.85
  5. Step 5: Solve for x
    x = 32,098,326,132.85/201,470.56
  6. Step 6: Final answer
    x = 159,320.18

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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.