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Finding the Fourth Proportional to 137,665.56, 189,961.56 and 81,066

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Solution

The fourth proportional to 137,665.56, 189,961.56 and 81,066 is: 111,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,665.56 : 189,961.56 = 81,066 : x
  2. Step 2: Convert to fraction form
    137,665.56/189,961.56 = 81,066/x
  3. Step 3: Cross multiply
    137,665.56x = 189,961.56 × 81,066
  4. Step 4: Simplify right side
    137,665.56x = 15,399,423,822.96
  5. Step 5: Solve for x
    x = 15,399,423,822.96/137,665.56
  6. Step 6: Final answer
    x = 111,861.12

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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.