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Finding the Fourth Proportional to 104,103.84, 143,514 and 74,244

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Solution

The fourth proportional to 104,103.84, 143,514 and 74,244 is: 102,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,103.84 : 143,514 = 74,244 : x
  2. Step 2: Convert to fraction form
    104,103.84/143,514 = 74,244/x
  3. Step 3: Cross multiply
    104,103.84x = 143,514 × 74,244
  4. Step 4: Simplify right side
    104,103.84x = 10,655,053,416
  5. Step 5: Solve for x
    x = 10,655,053,416/104,103.84
  6. Step 6: Final answer
    x = 102,350.24

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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.