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Finding the Fourth Proportional to 65,034.86, 89,721.54 and 51,552

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Solution

The fourth proportional to 65,034.86, 89,721.54 and 51,552 is: 71,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034.86 : 89,721.54 = 51,552 : x
  2. Step 2: Convert to fraction form
    65,034.86/89,721.54 = 51,552/x
  3. Step 3: Cross multiply
    65,034.86x = 89,721.54 × 51,552
  4. Step 4: Simplify right side
    65,034.86x = 4,625,324,830.08
  5. Step 5: Solve for x
    x = 4,625,324,830.08/65,034.86
  6. Step 6: Final answer
    x = 71,120.71

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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.