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Finding the Fourth Proportional to 375,123, 562,678 and 125,805

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Solution

The fourth proportional to 375,123, 562,678 and 125,805 is: 188,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,123 : 562,678 = 125,805 : x
  2. Step 2: Convert to fraction form
    375,123/562,678 = 125,805/x
  3. Step 3: Cross multiply
    375,123x = 562,678 × 125,805
  4. Step 4: Simplify right side
    375,123x = 70,787,705,790
  5. Step 5: Solve for x
    x = 70,787,705,790/375,123
  6. Step 6: Final answer
    x = 188,705.32

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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.