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Finding the Fourth Proportional to 135,398.96, 203,117.88 and 41,912

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Solution

The fourth proportional to 135,398.96, 203,117.88 and 41,912 is: 62,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,398.96 : 203,117.88 = 41,912 : x
  2. Step 2: Convert to fraction form
    135,398.96/203,117.88 = 41,912/x
  3. Step 3: Cross multiply
    135,398.96x = 203,117.88 × 41,912
  4. Step 4: Simplify right side
    135,398.96x = 8,513,076,586.56
  5. Step 5: Solve for x
    x = 8,513,076,586.56/135,398.96
  6. Step 6: Final answer
    x = 62,874.02

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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.