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Finding the Fourth Proportional to 199,764.84, 299,327.88 and 139,906.20

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Solution

The fourth proportional to 199,764.84, 299,327.88 and 139,906.20 is: 209,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,764.84 : 299,327.88 = 139,906.20 : x
  2. Step 2: Convert to fraction form
    199,764.84/299,327.88 = 139,906.20/x
  3. Step 3: Cross multiply
    199,764.84x = 299,327.88 × 139,906.20
  4. Step 4: Simplify right side
    199,764.84x = 41,877,826,244.86
  5. Step 5: Solve for x
    x = 41,877,826,244.86/199,764.84
  6. Step 6: Final answer
    x = 209,635.62

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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.