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Finding the Fourth Proportional to 137,393.31, 189,695.25 and 85,788.96

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Solution

The fourth proportional to 137,393.31, 189,695.25 and 85,788.96 is: 118,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,393.31 : 189,695.25 = 85,788.96 : x
  2. Step 2: Convert to fraction form
    137,393.31/189,695.25 = 85,788.96/x
  3. Step 3: Cross multiply
    137,393.31x = 189,695.25 × 85,788.96
  4. Step 4: Simplify right side
    137,393.31x = 16,273,758,214.44
  5. Step 5: Solve for x
    x = 16,273,758,214.44/137,393.31
  6. Step 6: Final answer
    x = 118,446.51

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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.