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Finding the Fourth Proportional to 136,077.28, 187,791.47 and 74,828.14

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Solution

The fourth proportional to 136,077.28, 187,791.47 and 74,828.14 is: 103,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,077.28 : 187,791.47 = 74,828.14 : x
  2. Step 2: Convert to fraction form
    136,077.28/187,791.47 = 74,828.14/x
  3. Step 3: Cross multiply
    136,077.28x = 187,791.47 × 74,828.14
  4. Step 4: Simplify right side
    136,077.28x = 14,052,086,407.97
  5. Step 5: Solve for x
    x = 14,052,086,407.97/136,077.28
  6. Step 6: Final answer
    x = 103,265.49

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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.