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Finding the Fourth Proportional to 206,908.41, 310,356.48 and 57,157.71

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Solution

The fourth proportional to 206,908.41, 310,356.48 and 57,157.71 is: 85,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,908.41 : 310,356.48 = 57,157.71 : x
  2. Step 2: Convert to fraction form
    206,908.41/310,356.48 = 57,157.71/x
  3. Step 3: Cross multiply
    206,908.41x = 310,356.48 × 57,157.71
  4. Step 4: Simplify right side
    206,908.41x = 17,739,265,680.46
  5. Step 5: Solve for x
    x = 17,739,265,680.46/206,908.41
  6. Step 6: Final answer
    x = 85,734.87

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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.