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Finding the Fourth Proportional to 207,984.28, 312,031.74 and 65,832.28

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Solution

The fourth proportional to 207,984.28, 312,031.74 and 65,832.28 is: 98,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,984.28 : 312,031.74 = 65,832.28 : x
  2. Step 2: Convert to fraction form
    207,984.28/312,031.74 = 65,832.28/x
  3. Step 3: Cross multiply
    207,984.28x = 312,031.74 × 65,832.28
  4. Step 4: Simplify right side
    207,984.28x = 20,541,760,876.57
  5. Step 5: Solve for x
    x = 20,541,760,876.57/207,984.28
  6. Step 6: Final answer
    x = 98,765.93

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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.