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Finding the Fourth Proportional to 71,768.32, 107,621.10 and 36,207.76

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Solution

The fourth proportional to 71,768.32, 107,621.10 and 36,207.76 is: 54,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,768.32 : 107,621.10 = 36,207.76 : x
  2. Step 2: Convert to fraction form
    71,768.32/107,621.10 = 36,207.76/x
  3. Step 3: Cross multiply
    71,768.32x = 107,621.10 × 36,207.76
  4. Step 4: Simplify right side
    71,768.32x = 3,896,718,959.74
  5. Step 5: Solve for x
    x = 3,896,718,959.74/71,768.32
  6. Step 6: Final answer
    x = 54,295.81

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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.