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Finding the Fourth Proportional to 135,374.50, 203,061.75 and 36,878.50

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Solution

The fourth proportional to 135,374.50, 203,061.75 and 36,878.50 is: 55,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,374.50 : 203,061.75 = 36,878.50 : x
  2. Step 2: Convert to fraction form
    135,374.50/203,061.75 = 36,878.50/x
  3. Step 3: Cross multiply
    135,374.50x = 203,061.75 × 36,878.50
  4. Step 4: Simplify right side
    135,374.50x = 7,488,612,747.38
  5. Step 5: Solve for x
    x = 7,488,612,747.38/135,374.50
  6. Step 6: Final answer
    x = 55,317.75

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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.