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Finding the Fourth Proportional to 205,008.10, 307,512.15 and 149,020.90

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Solution

The fourth proportional to 205,008.10, 307,512.15 and 149,020.90 is: 223,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,008.10 : 307,512.15 = 149,020.90 : x
  2. Step 2: Convert to fraction form
    205,008.10/307,512.15 = 149,020.90/x
  3. Step 3: Cross multiply
    205,008.10x = 307,512.15 × 149,020.90
  4. Step 4: Simplify right side
    205,008.10x = 45,825,737,353.94
  5. Step 5: Solve for x
    x = 45,825,737,353.94/205,008.10
  6. Step 6: Final answer
    x = 223,531.35

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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.