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Finding the Fourth Proportional to 57,883.42, 86,831.35 and 18,431.30

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Solution

The fourth proportional to 57,883.42, 86,831.35 and 18,431.30 is: 27,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,883.42 : 86,831.35 = 18,431.30 : x
  2. Step 2: Convert to fraction form
    57,883.42/86,831.35 = 18,431.30/x
  3. Step 3: Cross multiply
    57,883.42x = 86,831.35 × 18,431.30
  4. Step 4: Simplify right side
    57,883.42x = 1,600,414,924.41
  5. Step 5: Solve for x
    x = 1,600,414,924.41/57,883.42
  6. Step 6: Final answer
    x = 27,648.94

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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.