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Finding the Fourth Proportional to 57,167.20, 85,981.20 and 51,176.80

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Solution

The fourth proportional to 57,167.20, 85,981.20 and 51,176.80 is: 76,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,167.20 : 85,981.20 = 51,176.80 : x
  2. Step 2: Convert to fraction form
    57,167.20/85,981.20 = 51,176.80/x
  3. Step 3: Cross multiply
    57,167.20x = 85,981.20 × 51,176.80
  4. Step 4: Simplify right side
    57,167.20x = 4,400,242,676.16
  5. Step 5: Solve for x
    x = 4,400,242,676.16/57,167.20
  6. Step 6: Final answer
    x = 76,971.46

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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.