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Finding the Fourth Proportional to 57,671.40, 86,546.25 and 20,231.16

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Solution

The fourth proportional to 57,671.40, 86,546.25 and 20,231.16 is: 30,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,671.40 : 86,546.25 = 20,231.16 : x
  2. Step 2: Convert to fraction form
    57,671.40/86,546.25 = 20,231.16/x
  3. Step 3: Cross multiply
    57,671.40x = 86,546.25 × 20,231.16
  4. Step 4: Simplify right side
    57,671.40x = 1,750,931,031.15
  5. Step 5: Solve for x
    x = 1,750,931,031.15/57,671.40
  6. Step 6: Final answer
    x = 30,360.47

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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.