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Finding the Fourth Proportional to 199,640.90, 299,617.86 and 139,276.82

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Solution

The fourth proportional to 199,640.90, 299,617.86 and 139,276.82 is: 209,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,640.90 : 299,617.86 = 139,276.82 : x
  2. Step 2: Convert to fraction form
    199,640.90/299,617.86 = 139,276.82/x
  3. Step 3: Cross multiply
    199,640.90x = 299,617.86 × 139,276.82
  4. Step 4: Simplify right side
    199,640.90x = 41,729,822,756.01
  5. Step 5: Solve for x
    x = 41,729,822,756.01/199,640.90
  6. Step 6: Final answer
    x = 209,024.42

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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.