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Finding the Fourth Proportional to 57,415, 86,125.80 and 20,479

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Solution

The fourth proportional to 57,415, 86,125.80 and 20,479 is: 30,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,415 : 86,125.80 = 20,479 : x
  2. Step 2: Convert to fraction form
    57,415/86,125.80 = 20,479/x
  3. Step 3: Cross multiply
    57,415x = 86,125.80 × 20,479
  4. Step 4: Simplify right side
    57,415x = 1,763,770,258.20
  5. Step 5: Solve for x
    x = 1,763,770,258.20/57,415
  6. Step 6: Final answer
    x = 30,719.68

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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.