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Finding the Fourth Proportional to 91,878.60, 137,817.90 and 71,142.60

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Solution

The fourth proportional to 91,878.60, 137,817.90 and 71,142.60 is: 106,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,878.60 : 137,817.90 = 71,142.60 : x
  2. Step 2: Convert to fraction form
    91,878.60/137,817.90 = 71,142.60/x
  3. Step 3: Cross multiply
    91,878.60x = 137,817.90 × 71,142.60
  4. Step 4: Simplify right side
    91,878.60x = 9,804,723,732.54
  5. Step 5: Solve for x
    x = 9,804,723,732.54/91,878.60
  6. Step 6: Final answer
    x = 106,713.90

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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.