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Finding the Fourth Proportional to 120,086.28, 165,633.12 and 84,284.28

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Solution

The fourth proportional to 120,086.28, 165,633.12 and 84,284.28 is: 116,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,086.28 : 165,633.12 = 84,284.28 : x
  2. Step 2: Convert to fraction form
    120,086.28/165,633.12 = 84,284.28/x
  3. Step 3: Cross multiply
    120,086.28x = 165,633.12 × 84,284.28
  4. Step 4: Simplify right side
    120,086.28x = 13,960,268,263.35
  5. Step 5: Solve for x
    x = 13,960,268,263.35/120,086.28
  6. Step 6: Final answer
    x = 116,251.98

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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.