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Finding the Fourth Proportional to 207,920.10, 311,101.65 and 148,086.90

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Solution

The fourth proportional to 207,920.10, 311,101.65 and 148,086.90 is: 221,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,920.10 : 311,101.65 = 148,086.90 : x
  2. Step 2: Convert to fraction form
    207,920.10/311,101.65 = 148,086.90/x
  3. Step 3: Cross multiply
    207,920.10x = 311,101.65 × 148,086.90
  4. Step 4: Simplify right side
    207,920.10x = 46,070,078,933.39
  5. Step 5: Solve for x
    x = 46,070,078,933.39/207,920.10
  6. Step 6: Final answer
    x = 221,575.88

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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.