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Finding the Fourth Proportional to 91,199.45, 137,006.78 and 65,976.77

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Solution

The fourth proportional to 91,199.45, 137,006.78 and 65,976.77 is: 99,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,199.45 : 137,006.78 = 65,976.77 : x
  2. Step 2: Convert to fraction form
    91,199.45/137,006.78 = 65,976.77/x
  3. Step 3: Cross multiply
    91,199.45x = 137,006.78 × 65,976.77
  4. Step 4: Simplify right side
    91,199.45x = 9,039,264,825.13
  5. Step 5: Solve for x
    x = 9,039,264,825.13/91,199.45
  6. Step 6: Final answer
    x = 99,115.34

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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.