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Finding the Fourth Proportional to 57,831.68, 86,757.12 and 20,381.12

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Solution

The fourth proportional to 57,831.68, 86,757.12 and 20,381.12 is: 30,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,831.68 : 86,757.12 = 20,381.12 : x
  2. Step 2: Convert to fraction form
    57,831.68/86,757.12 = 20,381.12/x
  3. Step 3: Cross multiply
    57,831.68x = 86,757.12 × 20,381.12
  4. Step 4: Simplify right side
    57,831.68x = 1,768,207,273.57
  5. Step 5: Solve for x
    x = 1,768,207,273.57/57,831.68
  6. Step 6: Final answer
    x = 30,575.06

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1.5x scale

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.