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Finding the Fourth Proportional to 96,449.11, 133,134.71 and 78,512.98

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Solution

The fourth proportional to 96,449.11, 133,134.71 and 78,512.98 is: 108,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,449.11 : 133,134.71 = 78,512.98 : x
  2. Step 2: Convert to fraction form
    96,449.11/133,134.71 = 78,512.98/x
  3. Step 3: Cross multiply
    96,449.11x = 133,134.71 × 78,512.98
  4. Step 4: Simplify right side
    96,449.11x = 10,452,803,010.22
  5. Step 5: Solve for x
    x = 10,452,803,010.22/96,449.11
  6. Step 6: Final answer
    x = 108,376.35

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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.