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Finding the Fourth Proportional to 76,800.30, 115,216.65 and 32,404.20

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Solution

The fourth proportional to 76,800.30, 115,216.65 and 32,404.20 is: 48,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800.30 : 115,216.65 = 32,404.20 : x
  2. Step 2: Convert to fraction form
    76,800.30/115,216.65 = 32,404.20/x
  3. Step 3: Cross multiply
    76,800.30x = 115,216.65 × 32,404.20
  4. Step 4: Simplify right side
    76,800.30x = 3,733,503,369.93
  5. Step 5: Solve for x
    x = 3,733,503,369.93/76,800.30
  6. Step 6: Final answer
    x = 48,613.14

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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.