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Finding the Fourth Proportional to 90,568.64, 135,852.96 and 28,244

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Solution

The fourth proportional to 90,568.64, 135,852.96 and 28,244 is: 42,366

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,568.64 : 135,852.96 = 28,244 : x
  2. Step 2: Convert to fraction form
    90,568.64/135,852.96 = 28,244/x
  3. Step 3: Cross multiply
    90,568.64x = 135,852.96 × 28,244
  4. Step 4: Simplify right side
    90,568.64x = 3,837,031,002.24
  5. Step 5: Solve for x
    x = 3,837,031,002.24/90,568.64
  6. Step 6: Final answer
    x = 42,366

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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.