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Finding the Fourth Proportional to 85,792.84, 128,653.62 and 33,172

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Solution

The fourth proportional to 85,792.84, 128,653.62 and 33,172 is: 49,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,792.84 : 128,653.62 = 33,172 : x
  2. Step 2: Convert to fraction form
    85,792.84/128,653.62 = 33,172/x
  3. Step 3: Cross multiply
    85,792.84x = 128,653.62 × 33,172
  4. Step 4: Simplify right side
    85,792.84x = 4,267,697,882.64
  5. Step 5: Solve for x
    x = 4,267,697,882.64/85,792.84
  6. Step 6: Final answer
    x = 49,744.22

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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.