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Finding the Fourth Proportional to 135,309.84, 203,152.48 and 85,242.12

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Solution

The fourth proportional to 135,309.84, 203,152.48 and 85,242.12 is: 127,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,309.84 : 203,152.48 = 85,242.12 : x
  2. Step 2: Convert to fraction form
    135,309.84/203,152.48 = 85,242.12/x
  3. Step 3: Cross multiply
    135,309.84x = 203,152.48 × 85,242.12
  4. Step 4: Simplify right side
    135,309.84x = 17,317,148,078.46
  5. Step 5: Solve for x
    x = 17,317,148,078.46/135,309.84
  6. Step 6: Final answer
    x = 127,981.44

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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.