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Finding the Fourth Proportional to 55,464.60, 83,229.84 and 20,428.84

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Solution

The fourth proportional to 55,464.60, 83,229.84 and 20,428.84 is: 30,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,464.60 : 83,229.84 = 20,428.84 : x
  2. Step 2: Convert to fraction form
    55,464.60/83,229.84 = 20,428.84/x
  3. Step 3: Cross multiply
    55,464.60x = 83,229.84 × 20,428.84
  4. Step 4: Simplify right side
    55,464.60x = 1,700,289,084.59
  5. Step 5: Solve for x
    x = 1,700,289,084.59/55,464.60
  6. Step 6: Final answer
    x = 30,655.39

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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.