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Finding the Fourth Proportional to 69,122.58, 103,683.13 and 31,672.02

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Solution

The fourth proportional to 69,122.58, 103,683.13 and 31,672.02 is: 47,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,122.58 : 103,683.13 = 31,672.02 : x
  2. Step 2: Convert to fraction form
    69,122.58/103,683.13 = 31,672.02/x
  3. Step 3: Cross multiply
    69,122.58x = 103,683.13 × 31,672.02
  4. Step 4: Simplify right side
    69,122.58x = 3,283,854,167.02
  5. Step 5: Solve for x
    x = 3,283,854,167.02/69,122.58
  6. Step 6: Final answer
    x = 47,507.69

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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.