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Finding the Fourth Proportional to 135,124, 186,514.86 and 84,823

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Solution

The fourth proportional to 135,124, 186,514.86 and 84,823 is: 117,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,124 : 186,514.86 = 84,823 : x
  2. Step 2: Convert to fraction form
    135,124/186,514.86 = 84,823/x
  3. Step 3: Cross multiply
    135,124x = 186,514.86 × 84,823
  4. Step 4: Simplify right side
    135,124x = 15,820,749,969.78
  5. Step 5: Solve for x
    x = 15,820,749,969.78/135,124
  6. Step 6: Final answer
    x = 117,083.20

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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.