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Finding the Fourth Proportional to 80,407.73, 120,594.65 and 51,859.16

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Solution

The fourth proportional to 80,407.73, 120,594.65 and 51,859.16 is: 77,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,407.73 : 120,594.65 = 51,859.16 : x
  2. Step 2: Convert to fraction form
    80,407.73/120,594.65 = 51,859.16/x
  3. Step 3: Cross multiply
    80,407.73x = 120,594.65 × 51,859.16
  4. Step 4: Simplify right side
    80,407.73x = 6,253,937,249.49
  5. Step 5: Solve for x
    x = 6,253,937,249.49/80,407.73
  6. Step 6: Final answer
    x = 77,777.81

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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.