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Finding the Fourth Proportional to 55,649, 83,451.62 and 20,564.66

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Solution

The fourth proportional to 55,649, 83,451.62 and 20,564.66 is: 30,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649 : 83,451.62 = 20,564.66 : x
  2. Step 2: Convert to fraction form
    55,649/83,451.62 = 20,564.66/x
  3. Step 3: Cross multiply
    55,649x = 83,451.62 × 20,564.66
  4. Step 4: Simplify right side
    55,649x = 1,716,154,191.75
  5. Step 5: Solve for x
    x = 1,716,154,191.75/55,649
  6. Step 6: Final answer
    x = 30,838.90

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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.