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Finding the Fourth Proportional to 91,877.20, 137,815.80 and 81,854.80

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Solution

The fourth proportional to 91,877.20, 137,815.80 and 81,854.80 is: 122,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,877.20 : 137,815.80 = 81,854.80 : x
  2. Step 2: Convert to fraction form
    91,877.20/137,815.80 = 81,854.80/x
  3. Step 3: Cross multiply
    91,877.20x = 137,815.80 × 81,854.80
  4. Step 4: Simplify right side
    91,877.20x = 11,280,884,745.84
  5. Step 5: Solve for x
    x = 11,280,884,745.84/91,877.20
  6. Step 6: Final answer
    x = 122,782.20

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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.