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Finding the Fourth Proportional to 71,391.86, 98,518.14 and 41,178.46

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Solution

The fourth proportional to 71,391.86, 98,518.14 and 41,178.46 is: 56,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,391.86 : 98,518.14 = 41,178.46 : x
  2. Step 2: Convert to fraction form
    71,391.86/98,518.14 = 41,178.46/x
  3. Step 3: Cross multiply
    71,391.86x = 98,518.14 × 41,178.46
  4. Step 4: Simplify right side
    71,391.86x = 4,056,825,287.26
  5. Step 5: Solve for x
    x = 4,056,825,287.26/71,391.86
  6. Step 6: Final answer
    x = 56,824.76

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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.