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Finding the Fourth Proportional to 162,806.88, 243,915 and 120,217.74

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Solution

The fourth proportional to 162,806.88, 243,915 and 120,217.74 is: 180,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,806.88 : 243,915 = 120,217.74 : x
  2. Step 2: Convert to fraction form
    162,806.88/243,915 = 120,217.74/x
  3. Step 3: Cross multiply
    162,806.88x = 243,915 × 120,217.74
  4. Step 4: Simplify right side
    162,806.88x = 29,322,910,052.10
  5. Step 5: Solve for x
    x = 29,322,910,052.10/162,806.88
  6. Step 6: Final answer
    x = 180,108.54

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1.5x scale

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.