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Finding the Fourth Proportional to 56,505, 84,757.50 and 19,569

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Solution

The fourth proportional to 56,505, 84,757.50 and 19,569 is: 29,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,505 : 84,757.50 = 19,569 : x
  2. Step 2: Convert to fraction form
    56,505/84,757.50 = 19,569/x
  3. Step 3: Cross multiply
    56,505x = 84,757.50 × 19,569
  4. Step 4: Simplify right side
    56,505x = 1,658,619,517.50
  5. Step 5: Solve for x
    x = 1,658,619,517.50/56,505
  6. Step 6: Final answer
    x = 29,353.50

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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.