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Finding the Fourth Proportional to 120,357.01, 180,468.01 and 82,449.11

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Solution

The fourth proportional to 120,357.01, 180,468.01 and 82,449.11 is: 123,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,357.01 : 180,468.01 = 82,449.11 : x
  2. Step 2: Convert to fraction form
    120,357.01/180,468.01 = 82,449.11/x
  3. Step 3: Cross multiply
    120,357.01x = 180,468.01 × 82,449.11
  4. Step 4: Simplify right side
    120,357.01x = 14,879,426,807.97
  5. Step 5: Solve for x
    x = 14,879,426,807.97/120,357.01
  6. Step 6: Final answer
    x = 123,627.42

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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.