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Finding the Fourth Proportional to 69,308.88, 103,877.19 and 31,829.19

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Solution

The fourth proportional to 69,308.88, 103,877.19 and 31,829.19 is: 47,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,308.88 : 103,877.19 = 31,829.19 : x
  2. Step 2: Convert to fraction form
    69,308.88/103,877.19 = 31,829.19/x
  3. Step 3: Cross multiply
    69,308.88x = 103,877.19 × 31,829.19
  4. Step 4: Simplify right side
    69,308.88x = 3,306,326,817.18
  5. Step 5: Solve for x
    x = 3,306,326,817.18/69,308.88
  6. Step 6: Final answer
    x = 47,704.23

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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.