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Finding the Fourth Proportional to 91,206.89, 136,696.13 and 48,983.21

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Solution

The fourth proportional to 91,206.89, 136,696.13 and 48,983.21 is: 73,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,206.89 : 136,696.13 = 48,983.21 : x
  2. Step 2: Convert to fraction form
    91,206.89/136,696.13 = 48,983.21/x
  3. Step 3: Cross multiply
    91,206.89x = 136,696.13 × 48,983.21
  4. Step 4: Simplify right side
    91,206.89x = 6,695,815,338.80
  5. Step 5: Solve for x
    x = 6,695,815,338.80/91,206.89
  6. Step 6: Final answer
    x = 73,413.48

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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.