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Finding the Fourth Proportional to 137,494.98, 189,726.21 and 83,760.48

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Solution

The fourth proportional to 137,494.98, 189,726.21 and 83,760.48 is: 115,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,494.98 : 189,726.21 = 83,760.48 : x
  2. Step 2: Convert to fraction form
    137,494.98/189,726.21 = 83,760.48/x
  3. Step 3: Cross multiply
    137,494.98x = 189,726.21 × 83,760.48
  4. Step 4: Simplify right side
    137,494.98x = 15,891,558,418.18
  5. Step 5: Solve for x
    x = 15,891,558,418.18/137,494.98
  6. Step 6: Final answer
    x = 115,579.19

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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.