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Finding the Fourth Proportional to 96,270.80, 144,214.20 and 84,725.20

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Solution

The fourth proportional to 96,270.80, 144,214.20 and 84,725.20 is: 126,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,270.80 : 144,214.20 = 84,725.20 : x
  2. Step 2: Convert to fraction form
    96,270.80/144,214.20 = 84,725.20/x
  3. Step 3: Cross multiply
    96,270.80x = 144,214.20 × 84,725.20
  4. Step 4: Simplify right side
    96,270.80x = 12,218,576,937.84
  5. Step 5: Solve for x
    x = 12,218,576,937.84/96,270.80
  6. Step 6: Final answer
    x = 126,918.83

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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.