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Finding the Fourth Proportional to 187,261.81, 280,761.49 and 68,917.78

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Solution

The fourth proportional to 187,261.81, 280,761.49 and 68,917.78 is: 103,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,261.81 : 280,761.49 = 68,917.78 : x
  2. Step 2: Convert to fraction form
    187,261.81/280,761.49 = 68,917.78/x
  3. Step 3: Cross multiply
    187,261.81x = 280,761.49 × 68,917.78
  4. Step 4: Simplify right side
    187,261.81x = 19,349,458,600.29
  5. Step 5: Solve for x
    x = 19,349,458,600.29/187,261.81
  6. Step 6: Final answer
    x = 103,328.38

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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.