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Finding the Fourth Proportional to 120,101.52, 180,171.72 and 36,976.08

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Solution

The fourth proportional to 120,101.52, 180,171.72 and 36,976.08 is: 55,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,101.52 : 180,171.72 = 36,976.08 : x
  2. Step 2: Convert to fraction form
    120,101.52/180,171.72 = 36,976.08/x
  3. Step 3: Cross multiply
    120,101.52x = 180,171.72 × 36,976.08
  4. Step 4: Simplify right side
    120,101.52x = 6,662,043,932.46
  5. Step 5: Solve for x
    x = 6,662,043,932.46/120,101.52
  6. Step 6: Final answer
    x = 55,470.11

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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.