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Finding the Fourth Proportional to 137,414.88, 189,596.70 and 79,257.29

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Solution

The fourth proportional to 137,414.88, 189,596.70 and 79,257.29 is: 109,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,414.88 : 189,596.70 = 79,257.29 : x
  2. Step 2: Convert to fraction form
    137,414.88/189,596.70 = 79,257.29/x
  3. Step 3: Cross multiply
    137,414.88x = 189,596.70 × 79,257.29
  4. Step 4: Simplify right side
    137,414.88x = 15,026,919,686.96
  5. Step 5: Solve for x
    x = 15,026,919,686.96/137,414.88
  6. Step 6: Final answer
    x = 109,354.38

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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.