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Finding the Fourth Proportional to 231,203.97, 346,812.11 and 81,410.19

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Solution

The fourth proportional to 231,203.97, 346,812.11 and 81,410.19 is: 122,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,203.97 : 346,812.11 = 81,410.19 : x
  2. Step 2: Convert to fraction form
    231,203.97/346,812.11 = 81,410.19/x
  3. Step 3: Cross multiply
    231,203.97x = 346,812.11 × 81,410.19
  4. Step 4: Simplify right side
    231,203.97x = 28,234,039,113.54
  5. Step 5: Solve for x
    x = 28,234,039,113.54/231,203.97
  6. Step 6: Final answer
    x = 122,117.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.