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Finding the Fourth Proportional to 90,047.65, 134,964.12 and 41,951.74

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Solution

The fourth proportional to 90,047.65, 134,964.12 and 41,951.74 is: 62,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,047.65 : 134,964.12 = 41,951.74 : x
  2. Step 2: Convert to fraction form
    90,047.65/134,964.12 = 41,951.74/x
  3. Step 3: Cross multiply
    90,047.65x = 134,964.12 × 41,951.74
  4. Step 4: Simplify right side
    90,047.65x = 5,661,979,390.57
  5. Step 5: Solve for x
    x = 5,661,979,390.57/90,047.65
  6. Step 6: Final answer
    x = 62,877.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.