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Finding the Fourth Proportional to 57,412.12, 86,119.80 and 15,859.12

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Solution

The fourth proportional to 57,412.12, 86,119.80 and 15,859.12 is: 23,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.12 : 86,119.80 = 15,859.12 : x
  2. Step 2: Convert to fraction form
    57,412.12/86,119.80 = 15,859.12/x
  3. Step 3: Cross multiply
    57,412.12x = 86,119.80 × 15,859.12
  4. Step 4: Simplify right side
    57,412.12x = 1,365,784,242.58
  5. Step 5: Solve for x
    x = 1,365,784,242.58/57,412.12
  6. Step 6: Final answer
    x = 23,789.13

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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.