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Finding the Fourth Proportional to 85,589.28, 128,400 and 32,994.24

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Solution

The fourth proportional to 85,589.28, 128,400 and 32,994.24 is: 49,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,589.28 : 128,400 = 32,994.24 : x
  2. Step 2: Convert to fraction form
    85,589.28/128,400 = 32,994.24/x
  3. Step 3: Cross multiply
    85,589.28x = 128,400 × 32,994.24
  4. Step 4: Simplify right side
    85,589.28x = 4,236,460,416.00
  5. Step 5: Solve for x
    x = 4,236,460,416.00/85,589.28
  6. Step 6: Final answer
    x = 49,497.56

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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.