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Finding the Fourth Proportional to 137,702, 189,999.48 and 81,092.72

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Solution

The fourth proportional to 137,702, 189,999.48 and 81,092.72 is: 111,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,702 : 189,999.48 = 81,092.72 : x
  2. Step 2: Convert to fraction form
    137,702/189,999.48 = 81,092.72/x
  3. Step 3: Cross multiply
    137,702x = 189,999.48 × 81,092.72
  4. Step 4: Simplify right side
    137,702x = 15,407,574,631.79
  5. Step 5: Solve for x
    x = 15,407,574,631.79/137,702
  6. Step 6: Final answer
    x = 111,890.71

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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.