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Finding the Fourth Proportional to 57,010.50, 78,676.92 and 31,860

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Solution

The fourth proportional to 57,010.50, 78,676.92 and 31,860 is: 43,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,010.50 : 78,676.92 = 31,860 : x
  2. Step 2: Convert to fraction form
    57,010.50/78,676.92 = 31,860/x
  3. Step 3: Cross multiply
    57,010.50x = 78,676.92 × 31,860
  4. Step 4: Simplify right side
    57,010.50x = 2,506,646,671.20
  5. Step 5: Solve for x
    x = 2,506,646,671.20/57,010.50
  6. Step 6: Final answer
    x = 43,968.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.