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Finding the Fourth Proportional to 120,260.50, 180,452.98 and 87,253

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Solution

The fourth proportional to 120,260.50, 180,452.98 and 87,253 is: 130,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,260.50 : 180,452.98 = 87,253 : x
  2. Step 2: Convert to fraction form
    120,260.50/180,452.98 = 87,253/x
  3. Step 3: Cross multiply
    120,260.50x = 180,452.98 × 87,253
  4. Step 4: Simplify right side
    120,260.50x = 15,745,063,863.94
  5. Step 5: Solve for x
    x = 15,745,063,863.94/120,260.50
  6. Step 6: Final answer
    x = 130,924.65

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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.