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Finding the Fourth Proportional to 125,355.69, 188,031.11 and 30,586.50

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Solution

The fourth proportional to 125,355.69, 188,031.11 and 30,586.50 is: 45,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,355.69 : 188,031.11 = 30,586.50 : x
  2. Step 2: Convert to fraction form
    125,355.69/188,031.11 = 30,586.50/x
  3. Step 3: Cross multiply
    125,355.69x = 188,031.11 × 30,586.50
  4. Step 4: Simplify right side
    125,355.69x = 5,751,213,393.08
  5. Step 5: Solve for x
    x = 5,751,213,393.08/125,355.69
  6. Step 6: Final answer
    x = 45,879.16

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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.