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Finding the Fourth Proportional to 57,216, 78,958.13 and 34,860

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Solution

The fourth proportional to 57,216, 78,958.13 and 34,860 is: 48,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,216 : 78,958.13 = 34,860 : x
  2. Step 2: Convert to fraction form
    57,216/78,958.13 = 34,860/x
  3. Step 3: Cross multiply
    57,216x = 78,958.13 × 34,860
  4. Step 4: Simplify right side
    57,216x = 2,752,480,237.50
  5. Step 5: Solve for x
    x = 2,752,480,237.50/57,216
  6. Step 6: Final answer
    x = 48,106.83

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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.