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Finding the Fourth Proportional to 91,199.13, 137,006.29 and 65,976.44

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Solution

The fourth proportional to 91,199.13, 137,006.29 and 65,976.44 is: 99,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,199.13 : 137,006.29 = 65,976.44 : x
  2. Step 2: Convert to fraction form
    91,199.13/137,006.29 = 65,976.44/x
  3. Step 3: Cross multiply
    91,199.13x = 137,006.29 × 65,976.44
  4. Step 4: Simplify right side
    91,199.13x = 9,039,187,068.79
  5. Step 5: Solve for x
    x = 9,039,187,068.79/91,199.13
  6. Step 6: Final answer
    x = 99,114.84

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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.