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Finding the Fourth Proportional to 71,978.60, 107,967.90 and 47,046.80

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Solution

The fourth proportional to 71,978.60, 107,967.90 and 47,046.80 is: 70,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,978.60 : 107,967.90 = 47,046.80 : x
  2. Step 2: Convert to fraction form
    71,978.60/107,967.90 = 47,046.80/x
  3. Step 3: Cross multiply
    71,978.60x = 107,967.90 × 47,046.80
  4. Step 4: Simplify right side
    71,978.60x = 5,079,544,197.72
  5. Step 5: Solve for x
    x = 5,079,544,197.72/71,978.60
  6. Step 6: Final answer
    x = 70,570.20

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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.