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Finding the Fourth Proportional to 135,751.76, 203,656.88 and 40,974

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Solution

The fourth proportional to 135,751.76, 203,656.88 and 40,974 is: 61,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,751.76 : 203,656.88 = 40,974 : x
  2. Step 2: Convert to fraction form
    135,751.76/203,656.88 = 40,974/x
  3. Step 3: Cross multiply
    135,751.76x = 203,656.88 × 40,974
  4. Step 4: Simplify right side
    135,751.76x = 8,344,637,001.12
  5. Step 5: Solve for x
    x = 8,344,637,001.12/135,751.76
  6. Step 6: Final answer
    x = 61,469.83

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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.