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Finding the Fourth Proportional to 199,697.92, 299,371.92 and 75,126.40

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Solution

The fourth proportional to 199,697.92, 299,371.92 and 75,126.40 is: 112,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,697.92 : 299,371.92 = 75,126.40 : x
  2. Step 2: Convert to fraction form
    199,697.92/299,371.92 = 75,126.40/x
  3. Step 3: Cross multiply
    199,697.92x = 299,371.92 × 75,126.40
  4. Step 4: Simplify right side
    199,697.92x = 22,490,733,580.53
  5. Step 5: Solve for x
    x = 22,490,733,580.53/199,697.92
  6. Step 6: Final answer
    x = 112,623.78

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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.