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Finding the Fourth Proportional to 125,321.74, 188,031.81 and 55,151.83

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Solution

The fourth proportional to 125,321.74, 188,031.81 and 55,151.83 is: 82,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,321.74 : 188,031.81 = 55,151.83 : x
  2. Step 2: Convert to fraction form
    125,321.74/188,031.81 = 55,151.83/x
  3. Step 3: Cross multiply
    125,321.74x = 188,031.81 × 55,151.83
  4. Step 4: Simplify right side
    125,321.74x = 10,370,298,419.71
  5. Step 5: Solve for x
    x = 10,370,298,419.71/125,321.74
  6. Step 6: Final answer
    x = 82,749.40

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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.