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Finding the Fourth Proportional to 91,940.81, 137,911.23 and 29,611.31

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Solution

The fourth proportional to 91,940.81, 137,911.23 and 29,611.31 is: 44,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,940.81 : 137,911.23 = 29,611.31 : x
  2. Step 2: Convert to fraction form
    91,940.81/137,911.23 = 29,611.31/x
  3. Step 3: Cross multiply
    91,940.81x = 137,911.23 × 29,611.31
  4. Step 4: Simplify right side
    91,940.81x = 4,083,732,417.75
  5. Step 5: Solve for x
    x = 4,083,732,417.75/91,940.81
  6. Step 6: Final answer
    x = 44,416.97

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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.