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Finding the Fourth Proportional to 203,909.70, 305,864.55 and 54,173.10

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Solution

The fourth proportional to 203,909.70, 305,864.55 and 54,173.10 is: 81,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909.70 : 305,864.55 = 54,173.10 : x
  2. Step 2: Convert to fraction form
    203,909.70/305,864.55 = 54,173.10/x
  3. Step 3: Cross multiply
    203,909.70x = 305,864.55 × 54,173.10
  4. Step 4: Simplify right side
    203,909.70x = 16,569,630,853.61
  5. Step 5: Solve for x
    x = 16,569,630,853.61/203,909.70
  6. Step 6: Final answer
    x = 81,259.65

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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.