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Finding the Fourth Proportional to 136,191.78, 187,943.49 and 75,761.33

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Solution

The fourth proportional to 136,191.78, 187,943.49 and 75,761.33 is: 104,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,191.78 : 187,943.49 = 75,761.33 : x
  2. Step 2: Convert to fraction form
    136,191.78/187,943.49 = 75,761.33/x
  3. Step 3: Cross multiply
    136,191.78x = 187,943.49 × 75,761.33
  4. Step 4: Simplify right side
    136,191.78x = 14,238,847,827.52
  5. Step 5: Solve for x
    x = 14,238,847,827.52/136,191.78
  6. Step 6: Final answer
    x = 104,549.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.