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Finding the Fourth Proportional to 135,309.85, 203,152.49 and 85,242.13

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Solution

The fourth proportional to 135,309.85, 203,152.49 and 85,242.13 is: 127,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,309.85 : 203,152.49 = 85,242.13 : x
  2. Step 2: Convert to fraction form
    135,309.85/203,152.49 = 85,242.13/x
  3. Step 3: Cross multiply
    135,309.85x = 203,152.49 × 85,242.13
  4. Step 4: Simplify right side
    135,309.85x = 17,317,150,962.40
  5. Step 5: Solve for x
    x = 17,317,150,962.40/135,309.85
  6. Step 6: Final answer
    x = 127,981.45

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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.