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Finding the Fourth Proportional to 203,641.98, 305,363.04 and 83,677.20

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Solution

The fourth proportional to 203,641.98, 305,363.04 and 83,677.20 is: 125,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,641.98 : 305,363.04 = 83,677.20 : x
  2. Step 2: Convert to fraction form
    203,641.98/305,363.04 = 83,677.20/x
  3. Step 3: Cross multiply
    203,641.98x = 305,363.04 × 83,677.20
  4. Step 4: Simplify right side
    203,641.98x = 25,551,924,170.69
  5. Step 5: Solve for x
    x = 25,551,924,170.69/203,641.98
  6. Step 6: Final answer
    x = 125,474.74

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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.