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Finding the Fourth Proportional to 45,865.68, 68,791.12 and 12,578.01

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Solution

The fourth proportional to 45,865.68, 68,791.12 and 12,578.01 is: 18,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,865.68 : 68,791.12 = 12,578.01 : x
  2. Step 2: Convert to fraction form
    45,865.68/68,791.12 = 12,578.01/x
  3. Step 3: Cross multiply
    45,865.68x = 68,791.12 × 12,578.01
  4. Step 4: Simplify right side
    45,865.68x = 865,255,395.27
  5. Step 5: Solve for x
    x = 865,255,395.27/45,865.68
  6. Step 6: Final answer
    x = 18,864.99

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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.