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Finding the Fourth Proportional to 98,119.52, 135,423.60 and 55,682

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Solution

The fourth proportional to 98,119.52, 135,423.60 and 55,682 is: 76,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,119.52 : 135,423.60 = 55,682 : x
  2. Step 2: Convert to fraction form
    98,119.52/135,423.60 = 55,682/x
  3. Step 3: Cross multiply
    98,119.52x = 135,423.60 × 55,682
  4. Step 4: Simplify right side
    98,119.52x = 7,540,656,895.20
  5. Step 5: Solve for x
    x = 7,540,656,895.20/98,119.52
  6. Step 6: Final answer
    x = 76,851.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.