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Finding the Fourth Proportional to 71,520, 107,254.08 and 32,056.80

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Solution

The fourth proportional to 71,520, 107,254.08 and 32,056.80 is: 48,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,520 : 107,254.08 = 32,056.80 : x
  2. Step 2: Convert to fraction form
    71,520/107,254.08 = 32,056.80/x
  3. Step 3: Cross multiply
    71,520x = 107,254.08 × 32,056.80
  4. Step 4: Simplify right side
    71,520x = 3,438,222,591.74
  5. Step 5: Solve for x
    x = 3,438,222,591.74/71,520
  6. Step 6: Final answer
    x = 48,073.58

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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.