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Finding the Fourth Proportional to 91,840.84, 137,813.82 and 49,721.80

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Solution

The fourth proportional to 91,840.84, 137,813.82 and 49,721.80 is: 74,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,840.84 : 137,813.82 = 49,721.80 : x
  2. Step 2: Convert to fraction form
    91,840.84/137,813.82 = 49,721.80/x
  3. Step 3: Cross multiply
    91,840.84x = 137,813.82 × 49,721.80
  4. Step 4: Simplify right side
    91,840.84x = 6,852,351,195.28
  5. Step 5: Solve for x
    x = 6,852,351,195.28/91,840.84
  6. Step 6: Final answer
    x = 74,611.16

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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.