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Finding the Fourth Proportional to 45,866.17, 68,791.87 and 12,578.51

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Solution

The fourth proportional to 45,866.17, 68,791.87 and 12,578.51 is: 18,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,866.17 : 68,791.87 = 12,578.51 : x
  2. Step 2: Convert to fraction form
    45,866.17/68,791.87 = 12,578.51/x
  3. Step 3: Cross multiply
    45,866.17x = 68,791.87 × 12,578.51
  4. Step 4: Simplify right side
    45,866.17x = 865,299,224.71
  5. Step 5: Solve for x
    x = 865,299,224.71/45,866.17
  6. Step 6: Final answer
    x = 18,865.74

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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.