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Finding the Fourth Proportional to 85,694.64, 128,492.64 and 33,097.20

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Solution

The fourth proportional to 85,694.64, 128,492.64 and 33,097.20 is: 49,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,694.64 : 128,492.64 = 33,097.20 : x
  2. Step 2: Convert to fraction form
    85,694.64/128,492.64 = 33,097.20/x
  3. Step 3: Cross multiply
    85,694.64x = 128,492.64 × 33,097.20
  4. Step 4: Simplify right side
    85,694.64x = 4,252,746,604.61
  5. Step 5: Solve for x
    x = 4,252,746,604.61/85,694.64
  6. Step 6: Final answer
    x = 49,626.75

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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.