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Finding the Fourth Proportional to 138,745.57, 191,398.32 and 84,283.27

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Solution

The fourth proportional to 138,745.57, 191,398.32 and 84,283.27 is: 116,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.57 : 191,398.32 = 84,283.27 : x
  2. Step 2: Convert to fraction form
    138,745.57/191,398.32 = 84,283.27/x
  3. Step 3: Cross multiply
    138,745.57x = 191,398.32 × 84,283.27
  4. Step 4: Simplify right side
    138,745.57x = 16,131,676,282.11
  5. Step 5: Solve for x
    x = 16,131,676,282.11/138,745.57
  6. Step 6: Final answer
    x = 116,268.05

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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.