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Finding the Fourth Proportional to 91,806.70, 137,515.65 and 81,957.10

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Solution

The fourth proportional to 91,806.70, 137,515.65 and 81,957.10 is: 122,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,806.70 : 137,515.65 = 81,957.10 : x
  2. Step 2: Convert to fraction form
    91,806.70/137,515.65 = 81,957.10/x
  3. Step 3: Cross multiply
    91,806.70x = 137,515.65 × 81,957.10
  4. Step 4: Simplify right side
    91,806.70x = 11,270,383,878.62
  5. Step 5: Solve for x
    x = 11,270,383,878.62/91,806.70
  6. Step 6: Final answer
    x = 122,762.11

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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.