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Finding the Fourth Proportional to 207,810.72, 311,767.92 and 83,148.48

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Solution

The fourth proportional to 207,810.72, 311,767.92 and 83,148.48 is: 124,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,810.72 : 311,767.92 = 83,148.48 : x
  2. Step 2: Convert to fraction form
    207,810.72/311,767.92 = 83,148.48/x
  3. Step 3: Cross multiply
    207,810.72x = 311,767.92 × 83,148.48
  4. Step 4: Simplify right side
    207,810.72x = 25,923,028,660.76
  5. Step 5: Solve for x
    x = 25,923,028,660.76/207,810.72
  6. Step 6: Final answer
    x = 124,743.46

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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.