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Finding the Fourth Proportional to 138,465, 191,082.51 and 81,138.15

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Solution

The fourth proportional to 138,465, 191,082.51 and 81,138.15 is: 111,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465 : 191,082.51 = 81,138.15 : x
  2. Step 2: Convert to fraction form
    138,465/191,082.51 = 81,138.15/x
  3. Step 3: Cross multiply
    138,465x = 191,082.51 × 81,138.15
  4. Step 4: Simplify right side
    138,465x = 15,504,081,358.76
  5. Step 5: Solve for x
    x = 15,504,081,358.76/138,465
  6. Step 6: Final answer
    x = 111,971.12

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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.