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Finding the Fourth Proportional to 165,397.67, 247,984.23 and 84,145.00

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Solution

The fourth proportional to 165,397.67, 247,984.23 and 84,145.00 is: 126,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,397.67 : 247,984.23 = 84,145.00 : x
  2. Step 2: Convert to fraction form
    165,397.67/247,984.23 = 84,145.00/x
  3. Step 3: Cross multiply
    165,397.67x = 247,984.23 × 84,145.00
  4. Step 4: Simplify right side
    165,397.67x = 20,866,632,097.85
  5. Step 5: Solve for x
    x = 20,866,632,097.85/165,397.67
  6. Step 6: Final answer
    x = 126,160.38

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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.