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Finding the Fourth Proportional to 125,386.96, 188,036.70 and 55,228

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Solution

The fourth proportional to 125,386.96, 188,036.70 and 55,228 is: 82,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,386.96 : 188,036.70 = 55,228 : x
  2. Step 2: Convert to fraction form
    125,386.96/188,036.70 = 55,228/x
  3. Step 3: Cross multiply
    125,386.96x = 188,036.70 × 55,228
  4. Step 4: Simplify right side
    125,386.96x = 10,384,890,867.60
  5. Step 5: Solve for x
    x = 10,384,890,867.60/125,386.96
  6. Step 6: Final answer
    x = 82,822.73

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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.