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Finding the Fourth Proportional to 82,865.78, 124,353.14 and 45,452.07

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Solution

The fourth proportional to 82,865.78, 124,353.14 and 45,452.07 is: 68,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.78 : 124,353.14 = 45,452.07 : x
  2. Step 2: Convert to fraction form
    82,865.78/124,353.14 = 45,452.07/x
  3. Step 3: Cross multiply
    82,865.78x = 124,353.14 × 45,452.07
  4. Step 4: Simplify right side
    82,865.78x = 5,652,107,396.74
  5. Step 5: Solve for x
    x = 5,652,107,396.74/82,865.78
  6. Step 6: Final answer
    x = 68,207.98

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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.