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Finding the Fourth Proportional to 135,393.13, 186,848.36 and 74,963.78

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Solution

The fourth proportional to 135,393.13, 186,848.36 and 74,963.78 is: 103,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,393.13 : 186,848.36 = 74,963.78 : x
  2. Step 2: Convert to fraction form
    135,393.13/186,848.36 = 74,963.78/x
  3. Step 3: Cross multiply
    135,393.13x = 186,848.36 × 74,963.78
  4. Step 4: Simplify right side
    135,393.13x = 14,006,858,324.45
  5. Step 5: Solve for x
    x = 14,006,858,324.45/135,393.13
  6. Step 6: Final answer
    x = 103,453.24

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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.