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Finding the Fourth Proportional to 71,989.60, 107,857.56 and 64,161.76

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Solution

The fourth proportional to 71,989.60, 107,857.56 and 64,161.76 is: 96,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,989.60 : 107,857.56 = 64,161.76 : x
  2. Step 2: Convert to fraction form
    71,989.60/107,857.56 = 64,161.76/x
  3. Step 3: Cross multiply
    71,989.60x = 107,857.56 × 64,161.76
  4. Step 4: Simplify right side
    71,989.60x = 6,920,330,878.91
  5. Step 5: Solve for x
    x = 6,920,330,878.91/71,989.60
  6. Step 6: Final answer
    x = 96,129.59

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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.