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Finding the Fourth Proportional to 207,654.29, 311,224.46 and 147,587.06

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Solution

The fourth proportional to 207,654.29, 311,224.46 and 147,587.06 is: 221,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,654.29 : 311,224.46 = 147,587.06 : x
  2. Step 2: Convert to fraction form
    207,654.29/311,224.46 = 147,587.06/x
  3. Step 3: Cross multiply
    207,654.29x = 311,224.46 × 147,587.06
  4. Step 4: Simplify right side
    207,654.29x = 45,932,700,757.43
  5. Step 5: Solve for x
    x = 45,932,700,757.43/207,654.29
  6. Step 6: Final answer
    x = 221,197.94

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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.