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Finding the Fourth Proportional to 75,772, 104,565.36 and 42,238

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Solution

The fourth proportional to 75,772, 104,565.36 and 42,238 is: 58,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,772 : 104,565.36 = 42,238 : x
  2. Step 2: Convert to fraction form
    75,772/104,565.36 = 42,238/x
  3. Step 3: Cross multiply
    75,772x = 104,565.36 × 42,238
  4. Step 4: Simplify right side
    75,772x = 4,416,631,675.68
  5. Step 5: Solve for x
    x = 4,416,631,675.68/75,772
  6. Step 6: Final answer
    x = 58,288.44

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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.