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Finding the Fourth Proportional to 72,612, 100,197.12 and 40,784.64

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Solution

The fourth proportional to 72,612, 100,197.12 and 40,784.64 is: 56,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,612 : 100,197.12 = 40,784.64 : x
  2. Step 2: Convert to fraction form
    72,612/100,197.12 = 40,784.64/x
  3. Step 3: Cross multiply
    72,612x = 100,197.12 × 40,784.64
  4. Step 4: Simplify right side
    72,612x = 4,086,503,468.24
  5. Step 5: Solve for x
    x = 4,086,503,468.24/72,612
  6. Step 6: Final answer
    x = 56,278.62

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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.