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Finding the Fourth Proportional to 137,610.90, 189,920.61 and 81,027.54

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Solution

The fourth proportional to 137,610.90, 189,920.61 and 81,027.54 is: 111,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,610.90 : 189,920.61 = 81,027.54 : x
  2. Step 2: Convert to fraction form
    137,610.90/189,920.61 = 81,027.54/x
  3. Step 3: Cross multiply
    137,610.90x = 189,920.61 × 81,027.54
  4. Step 4: Simplify right side
    137,610.90x = 15,388,799,823.60
  5. Step 5: Solve for x
    x = 15,388,799,823.60/137,610.90
  6. Step 6: Final answer
    x = 111,828.35

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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.