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Finding the Fourth Proportional to 47,978.20, 66,192.42 and 30,073.96

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Solution

The fourth proportional to 47,978.20, 66,192.42 and 30,073.96 is: 41,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.20 : 66,192.42 = 30,073.96 : x
  2. Step 2: Convert to fraction form
    47,978.20/66,192.42 = 30,073.96/x
  3. Step 3: Cross multiply
    47,978.20x = 66,192.42 × 30,073.96
  4. Step 4: Simplify right side
    47,978.20x = 1,990,668,191.38
  5. Step 5: Solve for x
    x = 1,990,668,191.38/47,978.20
  6. Step 6: Final answer
    x = 41,491.10

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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.