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Finding the Fourth Proportional to 125,398.82, 188,095.79 and 30,629.63

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Solution

The fourth proportional to 125,398.82, 188,095.79 and 30,629.63 is: 45,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,398.82 : 188,095.79 = 30,629.63 : x
  2. Step 2: Convert to fraction form
    125,398.82/188,095.79 = 30,629.63/x
  3. Step 3: Cross multiply
    125,398.82x = 188,095.79 × 30,629.63
  4. Step 4: Simplify right side
    125,398.82x = 5,761,303,358.63
  5. Step 5: Solve for x
    x = 5,761,303,358.63/125,398.82
  6. Step 6: Final answer
    x = 45,943.84

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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.