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Finding the Fourth Proportional to 55,251.84, 82,891.68 and 15,812.40

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Solution

The fourth proportional to 55,251.84, 82,891.68 and 15,812.40 is: 23,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,251.84 : 82,891.68 = 15,812.40 : x
  2. Step 2: Convert to fraction form
    55,251.84/82,891.68 = 15,812.40/x
  3. Step 3: Cross multiply
    55,251.84x = 82,891.68 × 15,812.40
  4. Step 4: Simplify right side
    55,251.84x = 1,310,716,400.83
  5. Step 5: Solve for x
    x = 1,310,716,400.83/55,251.84
  6. Step 6: Final answer
    x = 23,722.58

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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.