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Finding the Fourth Proportional to 245,624, 338,961.12 and 139,640

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Solution

The fourth proportional to 245,624, 338,961.12 and 139,640 is: 192,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,624 : 338,961.12 = 139,640 : x
  2. Step 2: Convert to fraction form
    245,624/338,961.12 = 139,640/x
  3. Step 3: Cross multiply
    245,624x = 338,961.12 × 139,640
  4. Step 4: Simplify right side
    245,624x = 47,332,530,796.80
  5. Step 5: Solve for x
    x = 47,332,530,796.80/245,624
  6. Step 6: Final answer
    x = 192,703.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.