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Finding the Fourth Proportional to 206,958.89, 285,820.10 and 142,595.48

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Solution

The fourth proportional to 206,958.89, 285,820.10 and 142,595.48 is: 196,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958.89 : 285,820.10 = 142,595.48 : x
  2. Step 2: Convert to fraction form
    206,958.89/285,820.10 = 142,595.48/x
  3. Step 3: Cross multiply
    206,958.89x = 285,820.10 × 142,595.48
  4. Step 4: Simplify right side
    206,958.89x = 40,756,654,353.15
  5. Step 5: Solve for x
    x = 40,756,654,353.15/206,958.89
  6. Step 6: Final answer
    x = 196,931.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.