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Finding the Fourth Proportional to 102,191.78, 153,287.71 and 48,871.15

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Solution

The fourth proportional to 102,191.78, 153,287.71 and 48,871.15 is: 73,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,191.78 : 153,287.71 = 48,871.15 : x
  2. Step 2: Convert to fraction form
    102,191.78/153,287.71 = 48,871.15/x
  3. Step 3: Cross multiply
    102,191.78x = 153,287.71 × 48,871.15
  4. Step 4: Simplify right side
    102,191.78x = 7,491,346,668.57
  5. Step 5: Solve for x
    x = 7,491,346,668.57/102,191.78
  6. Step 6: Final answer
    x = 73,306.74

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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.