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Finding the Fourth Proportional to 75,569, 113,355.90 and 22,978.94

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Solution

The fourth proportional to 75,569, 113,355.90 and 22,978.94 is: 34,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,569 : 113,355.90 = 22,978.94 : x
  2. Step 2: Convert to fraction form
    75,569/113,355.90 = 22,978.94/x
  3. Step 3: Cross multiply
    75,569x = 113,355.90 × 22,978.94
  4. Step 4: Simplify right side
    75,569x = 2,604,798,424.75
  5. Step 5: Solve for x
    x = 2,604,798,424.75/75,569
  6. Step 6: Final answer
    x = 34,469.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.