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Finding the Fourth Proportional to 90,105.68, 135,193.08 and 34,706

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Solution

The fourth proportional to 90,105.68, 135,193.08 and 34,706 is: 52,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,105.68 : 135,193.08 = 34,706 : x
  2. Step 2: Convert to fraction form
    90,105.68/135,193.08 = 34,706/x
  3. Step 3: Cross multiply
    90,105.68x = 135,193.08 × 34,706
  4. Step 4: Simplify right side
    90,105.68x = 4,692,011,034.48
  5. Step 5: Solve for x
    x = 4,692,011,034.48/90,105.68
  6. Step 6: Final answer
    x = 52,072.31

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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.