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Finding the Fourth Proportional to 206,731.72, 310,126.76 and 66,457.56

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Solution

The fourth proportional to 206,731.72, 310,126.76 and 66,457.56 is: 99,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,731.72 : 310,126.76 = 66,457.56 : x
  2. Step 2: Convert to fraction form
    206,731.72/310,126.76 = 66,457.56/x
  3. Step 3: Cross multiply
    206,731.72x = 310,126.76 × 66,457.56
  4. Step 4: Simplify right side
    206,731.72x = 20,610,267,760.31
  5. Step 5: Solve for x
    x = 20,610,267,760.31/206,731.72
  6. Step 6: Final answer
    x = 99,695.72

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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.