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Finding the Fourth Proportional to 100,057.15, 138,082.15 and 57,035.87

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Solution

The fourth proportional to 100,057.15, 138,082.15 and 57,035.87 is: 78,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,057.15 : 138,082.15 = 57,035.87 : x
  2. Step 2: Convert to fraction form
    100,057.15/138,082.15 = 57,035.87/x
  3. Step 3: Cross multiply
    100,057.15x = 138,082.15 × 57,035.87
  4. Step 4: Simplify right side
    100,057.15x = 7,875,635,556.72
  5. Step 5: Solve for x
    x = 7,875,635,556.72/100,057.15
  6. Step 6: Final answer
    x = 78,711.37

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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.