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Finding the Fourth Proportional to 134,633.78, 185,786.28 and 74,201.06

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Solution

The fourth proportional to 134,633.78, 185,786.28 and 74,201.06 is: 102,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,633.78 : 185,786.28 = 74,201.06 : x
  2. Step 2: Convert to fraction form
    134,633.78/185,786.28 = 74,201.06/x
  3. Step 3: Cross multiply
    134,633.78x = 185,786.28 × 74,201.06
  4. Step 4: Simplify right side
    134,633.78x = 13,785,538,909.46
  5. Step 5: Solve for x
    x = 13,785,538,909.46/134,633.78
  6. Step 6: Final answer
    x = 102,392.87

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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.