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Finding the Fourth Proportional to 55,641.70, 83,404.22 and 20,558.98

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Solution

The fourth proportional to 55,641.70, 83,404.22 and 20,558.98 is: 30,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,641.70 : 83,404.22 = 20,558.98 : x
  2. Step 2: Convert to fraction form
    55,641.70/83,404.22 = 20,558.98/x
  3. Step 3: Cross multiply
    55,641.70x = 83,404.22 × 20,558.98
  4. Step 4: Simplify right side
    55,641.70x = 1,714,705,690.90
  5. Step 5: Solve for x
    x = 1,714,705,690.90/55,641.70
  6. Step 6: Final answer
    x = 30,816.92

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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.