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Finding the Fourth Proportional to 207,807.40, 311,757.34 and 96,938.92

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Solution

The fourth proportional to 207,807.40, 311,757.34 and 96,938.92 is: 145,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,807.40 : 311,757.34 = 96,938.92 : x
  2. Step 2: Convert to fraction form
    207,807.40/311,757.34 = 96,938.92/x
  3. Step 3: Cross multiply
    207,807.40x = 311,757.34 × 96,938.92
  4. Step 4: Simplify right side
    207,807.40x = 30,221,419,841.67
  5. Step 5: Solve for x
    x = 30,221,419,841.67/207,807.40
  6. Step 6: Final answer
    x = 145,429.95

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1.5x scale

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.