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Finding the Fourth Proportional to 90,798.64, 136,197.96 and 28,474

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Solution

The fourth proportional to 90,798.64, 136,197.96 and 28,474 is: 42,711

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,798.64 : 136,197.96 = 28,474 : x
  2. Step 2: Convert to fraction form
    90,798.64/136,197.96 = 28,474/x
  3. Step 3: Cross multiply
    90,798.64x = 136,197.96 × 28,474
  4. Step 4: Simplify right side
    90,798.64x = 3,878,100,713.04
  5. Step 5: Solve for x
    x = 3,878,100,713.04/90,798.64
  6. Step 6: Final answer
    x = 42,711

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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.