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Finding the Fourth Proportional to 135,363.54, 186,821.23 and 77,991.87

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Solution

The fourth proportional to 135,363.54, 186,821.23 and 77,991.87 is: 107,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,363.54 : 186,821.23 = 77,991.87 : x
  2. Step 2: Convert to fraction form
    135,363.54/186,821.23 = 77,991.87/x
  3. Step 3: Cross multiply
    135,363.54x = 186,821.23 × 77,991.87
  4. Step 4: Simplify right side
    135,363.54x = 14,570,536,169.77
  5. Step 5: Solve for x
    x = 14,570,536,169.77/135,363.54
  6. Step 6: Final answer
    x = 107,640.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.