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Finding the Fourth Proportional to 135,956.90, 203,854.35 and 83,404.10

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Solution

The fourth proportional to 135,956.90, 203,854.35 and 83,404.10 is: 125,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,956.90 : 203,854.35 = 83,404.10 : x
  2. Step 2: Convert to fraction form
    135,956.90/203,854.35 = 83,404.10/x
  3. Step 3: Cross multiply
    135,956.90x = 203,854.35 × 83,404.10
  4. Step 4: Simplify right side
    135,956.90x = 17,002,288,592.84
  5. Step 5: Solve for x
    x = 17,002,288,592.84/135,956.90
  6. Step 6: Final answer
    x = 125,056.46

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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.