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Finding the Fourth Proportional to 57,129.29, 85,693.01 and 15,576.29

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Solution

The fourth proportional to 57,129.29, 85,693.01 and 15,576.29 is: 23,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129.29 : 85,693.01 = 15,576.29 : x
  2. Step 2: Convert to fraction form
    57,129.29/85,693.01 = 15,576.29/x
  3. Step 3: Cross multiply
    57,129.29x = 85,693.01 × 15,576.29
  4. Step 4: Simplify right side
    57,129.29x = 1,334,779,174.73
  5. Step 5: Solve for x
    x = 1,334,779,174.73/57,129.29
  6. Step 6: Final answer
    x = 23,364.18

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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.