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Finding the Fourth Proportional to 57,769.60, 86,452.80 and 34,412.80

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Solution

The fourth proportional to 57,769.60, 86,452.80 and 34,412.80 is: 51,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.60 : 86,452.80 = 34,412.80 : x
  2. Step 2: Convert to fraction form
    57,769.60/86,452.80 = 34,412.80/x
  3. Step 3: Cross multiply
    57,769.60x = 86,452.80 × 34,412.80
  4. Step 4: Simplify right side
    57,769.60x = 2,975,082,915.84
  5. Step 5: Solve for x
    x = 2,975,082,915.84/57,769.60
  6. Step 6: Final answer
    x = 51,499.11

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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.