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Finding the Fourth Proportional to 91,839.84, 137,812.32 and 49,720.80

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Solution

The fourth proportional to 91,839.84, 137,812.32 and 49,720.80 is: 74,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,839.84 : 137,812.32 = 49,720.80 : x
  2. Step 2: Convert to fraction form
    91,839.84/137,812.32 = 49,720.80/x
  3. Step 3: Cross multiply
    91,839.84x = 137,812.32 × 49,720.80
  4. Step 4: Simplify right side
    91,839.84x = 6,852,138,800.26
  5. Step 5: Solve for x
    x = 6,852,138,800.26/91,839.84
  6. Step 6: Final answer
    x = 74,609.66

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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.