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Finding the Fourth Proportional to 67,645.38, 101,347.70 and 57,683.60

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Solution

The fourth proportional to 67,645.38, 101,347.70 and 57,683.60 is: 86,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,645.38 : 101,347.70 = 57,683.60 : x
  2. Step 2: Convert to fraction form
    67,645.38/101,347.70 = 57,683.60/x
  3. Step 3: Cross multiply
    67,645.38x = 101,347.70 × 57,683.60
  4. Step 4: Simplify right side
    67,645.38x = 5,846,099,392.56
  5. Step 5: Solve for x
    x = 5,846,099,392.56/67,645.38
  6. Step 6: Final answer
    x = 86,422.74

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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.