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Finding the Fourth Proportional to 206,847.50, 285,461.74 and 155,770.11

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Solution

The fourth proportional to 206,847.50, 285,461.74 and 155,770.11 is: 214,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,847.50 : 285,461.74 = 155,770.11 : x
  2. Step 2: Convert to fraction form
    206,847.50/285,461.74 = 155,770.11/x
  3. Step 3: Cross multiply
    206,847.50x = 285,461.74 × 155,770.11
  4. Step 4: Simplify right side
    206,847.50x = 44,466,405,959.10
  5. Step 5: Solve for x
    x = 44,466,405,959.10/206,847.50
  6. Step 6: Final answer
    x = 214,971.93

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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.