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Finding the Fourth Proportional to 132,078.40, 198,263.40 and 82,214.80

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Solution

The fourth proportional to 132,078.40, 198,263.40 and 82,214.80 is: 123,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,078.40 : 198,263.40 = 82,214.80 : x
  2. Step 2: Convert to fraction form
    132,078.40/198,263.40 = 82,214.80/x
  3. Step 3: Cross multiply
    132,078.40x = 198,263.40 × 82,214.80
  4. Step 4: Simplify right side
    132,078.40x = 16,300,185,778.32
  5. Step 5: Solve for x
    x = 16,300,185,778.32/132,078.40
  6. Step 6: Final answer
    x = 123,412.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.