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Finding the Fourth Proportional to 206,693.85, 309,750.01 and 164,386.16

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Solution

The fourth proportional to 206,693.85, 309,750.01 and 164,386.16 is: 246,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,693.85 : 309,750.01 = 164,386.16 : x
  2. Step 2: Convert to fraction form
    206,693.85/309,750.01 = 164,386.16/x
  3. Step 3: Cross multiply
    206,693.85x = 309,750.01 × 164,386.16
  4. Step 4: Simplify right side
    206,693.85x = 50,918,614,498.38
  5. Step 5: Solve for x
    x = 50,918,614,498.38/206,693.85
  6. Step 6: Final answer
    x = 246,347.99

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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.