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Finding the Fourth Proportional to 84,585.69, 126,132.10 and 83,826.43

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Solution

The fourth proportional to 84,585.69, 126,132.10 and 83,826.43 is: 124,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,585.69 : 126,132.10 = 83,826.43 : x
  2. Step 2: Convert to fraction form
    84,585.69/126,132.10 = 83,826.43/x
  3. Step 3: Cross multiply
    84,585.69x = 126,132.10 × 83,826.43
  4. Step 4: Simplify right side
    84,585.69x = 10,573,203,126.51
  5. Step 5: Solve for x
    x = 10,573,203,126.51/84,585.69
  6. Step 6: Final answer
    x = 124,999.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.