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Finding the Fourth Proportional to 203,594.40, 281,056.50 and 135,724.50

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Solution

The fourth proportional to 203,594.40, 281,056.50 and 135,724.50 is: 187,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,594.40 : 281,056.50 = 135,724.50 : x
  2. Step 2: Convert to fraction form
    203,594.40/281,056.50 = 135,724.50/x
  3. Step 3: Cross multiply
    203,594.40x = 281,056.50 × 135,724.50
  4. Step 4: Simplify right side
    203,594.40x = 38,146,252,934.25
  5. Step 5: Solve for x
    x = 38,146,252,934.25/203,594.40
  6. Step 6: Final answer
    x = 187,363.96

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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.