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Finding the Fourth Proportional to 96,195.40, 144,293.10 and 78,480.70

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Solution

The fourth proportional to 96,195.40, 144,293.10 and 78,480.70 is: 117,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,195.40 : 144,293.10 = 78,480.70 : x
  2. Step 2: Convert to fraction form
    96,195.40/144,293.10 = 78,480.70/x
  3. Step 3: Cross multiply
    96,195.40x = 144,293.10 × 78,480.70
  4. Step 4: Simplify right side
    96,195.40x = 11,324,223,493.17
  5. Step 5: Solve for x
    x = 11,324,223,493.17/96,195.40
  6. Step 6: Final answer
    x = 117,721.05

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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.