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Finding the Fourth Proportional to 75,660.83, 104,388.41 and 42,949.79

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Solution

The fourth proportional to 75,660.83, 104,388.41 and 42,949.79 is: 59,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,660.83 : 104,388.41 = 42,949.79 : x
  2. Step 2: Convert to fraction form
    75,660.83/104,388.41 = 42,949.79/x
  3. Step 3: Cross multiply
    75,660.83x = 104,388.41 × 42,949.79
  4. Step 4: Simplify right side
    75,660.83x = 4,483,460,073.18
  5. Step 5: Solve for x
    x = 4,483,460,073.18/75,660.83
  6. Step 6: Final answer
    x = 59,257.35

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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.