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Finding the Fourth Proportional to 149,220.54, 223,823.52 and 55,719

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Solution

The fourth proportional to 149,220.54, 223,823.52 and 55,719 is: 83,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,220.54 : 223,823.52 = 55,719 : x
  2. Step 2: Convert to fraction form
    149,220.54/223,823.52 = 55,719/x
  3. Step 3: Cross multiply
    149,220.54x = 223,823.52 × 55,719
  4. Step 4: Simplify right side
    149,220.54x = 12,471,222,710.88
  5. Step 5: Solve for x
    x = 12,471,222,710.88/149,220.54
  6. Step 6: Final answer
    x = 83,575.78

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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.