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Finding the Fourth Proportional to 206,335.20, 309,463.40 and 64,182.20

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Solution

The fourth proportional to 206,335.20, 309,463.40 and 64,182.20 is: 96,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,335.20 : 309,463.40 = 64,182.20 : x
  2. Step 2: Convert to fraction form
    206,335.20/309,463.40 = 64,182.20/x
  3. Step 3: Cross multiply
    206,335.20x = 309,463.40 × 64,182.20
  4. Step 4: Simplify right side
    206,335.20x = 19,862,041,831.48
  5. Step 5: Solve for x
    x = 19,862,041,831.48/206,335.20
  6. Step 6: Final answer
    x = 96,261.04

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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.