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Finding the Fourth Proportional to 135,123, 186,513.48 and 84,822

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Solution

The fourth proportional to 135,123, 186,513.48 and 84,822 is: 117,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123 : 186,513.48 = 84,822 : x
  2. Step 2: Convert to fraction form
    135,123/186,513.48 = 84,822/x
  3. Step 3: Cross multiply
    135,123x = 186,513.48 × 84,822
  4. Step 4: Simplify right side
    135,123x = 15,820,446,400.56
  5. Step 5: Solve for x
    x = 15,820,446,400.56/135,123
  6. Step 6: Final answer
    x = 117,081.82

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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.