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Finding the Fourth Proportional to 57,218.76, 85,811.76 and 19,769.04

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Solution

The fourth proportional to 57,218.76, 85,811.76 and 19,769.04 is: 29,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218.76 : 85,811.76 = 19,769.04 : x
  2. Step 2: Convert to fraction form
    57,218.76/85,811.76 = 19,769.04/x
  3. Step 3: Cross multiply
    57,218.76x = 85,811.76 × 19,769.04
  4. Step 4: Simplify right side
    57,218.76x = 1,696,416,115.91
  5. Step 5: Solve for x
    x = 1,696,416,115.91/57,218.76
  6. Step 6: Final answer
    x = 29,647.90

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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.