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Finding the Fourth Proportional to 135,411, 203,116.50 and 36,915

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Solution

The fourth proportional to 135,411, 203,116.50 and 36,915 is: 55,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,411 : 203,116.50 = 36,915 : x
  2. Step 2: Convert to fraction form
    135,411/203,116.50 = 36,915/x
  3. Step 3: Cross multiply
    135,411x = 203,116.50 × 36,915
  4. Step 4: Simplify right side
    135,411x = 7,498,045,597.50
  5. Step 5: Solve for x
    x = 7,498,045,597.50/135,411
  6. Step 6: Final answer
    x = 55,372.50

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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.