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Finding the Fourth Proportional to 211,882.68, 292,481.40 and 126,983.40

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Solution

The fourth proportional to 211,882.68, 292,481.40 and 126,983.40 is: 175,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,882.68 : 292,481.40 = 126,983.40 : x
  2. Step 2: Convert to fraction form
    211,882.68/292,481.40 = 126,983.40/x
  3. Step 3: Cross multiply
    211,882.68x = 292,481.40 × 126,983.40
  4. Step 4: Simplify right side
    211,882.68x = 37,140,282,608.76
  5. Step 5: Solve for x
    x = 37,140,282,608.76/211,882.68
  6. Step 6: Final answer
    x = 175,287.02

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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.