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Finding the Fourth Proportional to 140,082, 193,313.16 and 89,781

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Solution

The fourth proportional to 140,082, 193,313.16 and 89,781 is: 123,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,082 : 193,313.16 = 89,781 : x
  2. Step 2: Convert to fraction form
    140,082/193,313.16 = 89,781/x
  3. Step 3: Cross multiply
    140,082x = 193,313.16 × 89,781
  4. Step 4: Simplify right side
    140,082x = 17,355,848,817.96
  5. Step 5: Solve for x
    x = 17,355,848,817.96/140,082
  6. Step 6: Final answer
    x = 123,897.78

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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.