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Finding the Fourth Proportional to 207,429.88, 311,209.40 and 74,311.28

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Solution

The fourth proportional to 207,429.88, 311,209.40 and 74,311.28 is: 111,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,429.88 : 311,209.40 = 74,311.28 : x
  2. Step 2: Convert to fraction form
    207,429.88/311,209.40 = 74,311.28/x
  3. Step 3: Cross multiply
    207,429.88x = 311,209.40 × 74,311.28
  4. Step 4: Simplify right side
    207,429.88x = 23,126,368,862.03
  5. Step 5: Solve for x
    x = 23,126,368,862.03/207,429.88
  6. Step 6: Final answer
    x = 111,490.06

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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.