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Finding the Fourth Proportional to 96,461.72, 144,716.26 and 77,909.88

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Solution

The fourth proportional to 96,461.72, 144,716.26 and 77,909.88 is: 116,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,461.72 : 144,716.26 = 77,909.88 : x
  2. Step 2: Convert to fraction form
    96,461.72/144,716.26 = 77,909.88/x
  3. Step 3: Cross multiply
    96,461.72x = 144,716.26 × 77,909.88
  4. Step 4: Simplify right side
    96,461.72x = 11,274,826,450.65
  5. Step 5: Solve for x
    x = 11,274,826,450.65/96,461.72
  6. Step 6: Final answer
    x = 116,883.95

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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.