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Finding the Fourth Proportional to 261,603.84, 361,022.22 and 154,265.88

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Solution

The fourth proportional to 261,603.84, 361,022.22 and 154,265.88 is: 212,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,603.84 : 361,022.22 = 154,265.88 : x
  2. Step 2: Convert to fraction form
    261,603.84/361,022.22 = 154,265.88/x
  3. Step 3: Cross multiply
    261,603.84x = 361,022.22 × 154,265.88
  4. Step 4: Simplify right side
    261,603.84x = 55,693,410,467.85
  5. Step 5: Solve for x
    x = 55,693,410,467.85/261,603.84
  6. Step 6: Final answer
    x = 212,892.17

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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.