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Finding the Fourth Proportional to 125,397.50, 188,099.14 and 30,628.48

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Solution

The fourth proportional to 125,397.50, 188,099.14 and 30,628.48 is: 45,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,397.50 : 188,099.14 = 30,628.48 : x
  2. Step 2: Convert to fraction form
    125,397.50/188,099.14 = 30,628.48/x
  3. Step 3: Cross multiply
    125,397.50x = 188,099.14 × 30,628.48
  4. Step 4: Simplify right side
    125,397.50x = 5,761,190,747.51
  5. Step 5: Solve for x
    x = 5,761,190,747.51/125,397.50
  6. Step 6: Final answer
    x = 45,943.43

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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.