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Finding the Fourth Proportional to 56,657.80, 84,983.10 and 19,217.80

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Solution

The fourth proportional to 56,657.80, 84,983.10 and 19,217.80 is: 28,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,657.80 : 84,983.10 = 19,217.80 : x
  2. Step 2: Convert to fraction form
    56,657.80/84,983.10 = 19,217.80/x
  3. Step 3: Cross multiply
    56,657.80x = 84,983.10 × 19,217.80
  4. Step 4: Simplify right side
    56,657.80x = 1,633,188,219.18
  5. Step 5: Solve for x
    x = 1,633,188,219.18/56,657.80
  6. Step 6: Final answer
    x = 28,825.48

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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.