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Finding the Fourth Proportional to 75,790, 104,590.20 and 42,256

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Solution

The fourth proportional to 75,790, 104,590.20 and 42,256 is: 58,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,790 : 104,590.20 = 42,256 : x
  2. Step 2: Convert to fraction form
    75,790/104,590.20 = 42,256/x
  3. Step 3: Cross multiply
    75,790x = 104,590.20 × 42,256
  4. Step 4: Simplify right side
    75,790x = 4,419,563,491.20
  5. Step 5: Solve for x
    x = 4,419,563,491.20/75,790
  6. Step 6: Final answer
    x = 58,313.28

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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.