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Finding the Fourth Proportional to 206,805.55, 310,258.19 and 71,849.96

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Solution

The fourth proportional to 206,805.55, 310,258.19 and 71,849.96 is: 107,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,805.55 : 310,258.19 = 71,849.96 : x
  2. Step 2: Convert to fraction form
    206,805.55/310,258.19 = 71,849.96/x
  3. Step 3: Cross multiply
    206,805.55x = 310,258.19 × 71,849.96
  4. Step 4: Simplify right side
    206,805.55x = 22,292,036,630.63
  5. Step 5: Solve for x
    x = 22,292,036,630.63/206,805.55
  6. Step 6: Final answer
    x = 107,792.26

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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.