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Finding the Fourth Proportional to 57,129.78, 85,693.77 and 15,576.78

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Solution

The fourth proportional to 57,129.78, 85,693.77 and 15,576.78 is: 23,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129.78 : 85,693.77 = 15,576.78 : x
  2. Step 2: Convert to fraction form
    57,129.78/85,693.77 = 15,576.78/x
  3. Step 3: Cross multiply
    57,129.78x = 85,693.77 × 15,576.78
  4. Step 4: Simplify right side
    57,129.78x = 1,334,833,002.66
  5. Step 5: Solve for x
    x = 1,334,833,002.66/57,129.78
  6. Step 6: Final answer
    x = 23,364.92

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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.