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Finding the Fourth Proportional to 135,780, 203,670.36 and 42,285.84

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Solution

The fourth proportional to 135,780, 203,670.36 and 42,285.84 is: 63,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780 : 203,670.36 = 42,285.84 : x
  2. Step 2: Convert to fraction form
    135,780/203,670.36 = 42,285.84/x
  3. Step 3: Cross multiply
    135,780x = 203,670.36 × 42,285.84
  4. Step 4: Simplify right side
    135,780x = 8,612,372,255.70
  5. Step 5: Solve for x
    x = 8,612,372,255.70/135,780
  6. Step 6: Final answer
    x = 63,428.87

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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.