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Finding the Fourth Proportional to 125,417.82, 188,144.40 and 36,678

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Solution

The fourth proportional to 125,417.82, 188,144.40 and 36,678 is: 55,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,417.82 : 188,144.40 = 36,678 : x
  2. Step 2: Convert to fraction form
    125,417.82/188,144.40 = 36,678/x
  3. Step 3: Cross multiply
    125,417.82x = 188,144.40 × 36,678
  4. Step 4: Simplify right side
    125,417.82x = 6,900,760,303.20
  5. Step 5: Solve for x
    x = 6,900,760,303.20/125,417.82
  6. Step 6: Final answer
    x = 55,022.17

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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.