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Finding the Fourth Proportional to 72,889.20, 109,296 and 33,412.32

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Solution

The fourth proportional to 72,889.20, 109,296 and 33,412.32 is: 50,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,889.20 : 109,296 = 33,412.32 : x
  2. Step 2: Convert to fraction form
    72,889.20/109,296 = 33,412.32/x
  3. Step 3: Cross multiply
    72,889.20x = 109,296 × 33,412.32
  4. Step 4: Simplify right side
    72,889.20x = 3,651,832,926.72
  5. Step 5: Solve for x
    x = 3,651,832,926.72/72,889.20
  6. Step 6: Final answer
    x = 50,101.15

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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.