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Finding the Fourth Proportional to 206,386.65, 309,527.33 and 64,204.11

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Solution

The fourth proportional to 206,386.65, 309,527.33 and 64,204.11 is: 96,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,386.65 : 309,527.33 = 64,204.11 : x
  2. Step 2: Convert to fraction form
    206,386.65/309,527.33 = 64,204.11/x
  3. Step 3: Cross multiply
    206,386.65x = 309,527.33 × 64,204.11
  4. Step 4: Simplify right side
    206,386.65x = 19,872,926,422.31
  5. Step 5: Solve for x
    x = 19,872,926,422.31/206,386.65
  6. Step 6: Final answer
    x = 96,289.79

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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.