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Finding the Fourth Proportional to 91,780.40, 137,711.90 and 49,611.11

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Solution

The fourth proportional to 91,780.40, 137,711.90 and 49,611.11 is: 74,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,780.40 : 137,711.90 = 49,611.11 : x
  2. Step 2: Convert to fraction form
    91,780.40/137,711.90 = 49,611.11/x
  3. Step 3: Cross multiply
    91,780.40x = 137,711.90 × 49,611.11
  4. Step 4: Simplify right side
    91,780.40x = 6,832,039,740.09
  5. Step 5: Solve for x
    x = 6,832,039,740.09/91,780.40
  6. Step 6: Final answer
    x = 74,438.99

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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.