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Finding the Fourth Proportional to 57,638.40, 86,198.40 and 48,307.20

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Solution

The fourth proportional to 57,638.40, 86,198.40 and 48,307.20 is: 72,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,638.40 : 86,198.40 = 48,307.20 : x
  2. Step 2: Convert to fraction form
    57,638.40/86,198.40 = 48,307.20/x
  3. Step 3: Cross multiply
    57,638.40x = 86,198.40 × 48,307.20
  4. Step 4: Simplify right side
    57,638.40x = 4,164,003,348.48
  5. Step 5: Solve for x
    x = 4,164,003,348.48/57,638.40
  6. Step 6: Final answer
    x = 72,243.56

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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.