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Finding the Fourth Proportional to 84,132.68, 115,866.86 and 82,295.60

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Solution

The fourth proportional to 84,132.68, 115,866.86 and 82,295.60 is: 113,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,132.68 : 115,866.86 = 82,295.60 : x
  2. Step 2: Convert to fraction form
    84,132.68/115,866.86 = 82,295.60/x
  3. Step 3: Cross multiply
    84,132.68x = 115,866.86 × 82,295.60
  4. Step 4: Simplify right side
    84,132.68x = 9,535,332,763.82
  5. Step 5: Solve for x
    x = 9,535,332,763.82/84,132.68
  6. Step 6: Final answer
    x = 113,336.85

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1.5x scale

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.