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Finding the Fourth Proportional to 199,581.41, 299,419.97 and 66,462.86

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Solution

The fourth proportional to 199,581.41, 299,419.97 and 66,462.86 is: 99,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,581.41 : 299,419.97 = 66,462.86 : x
  2. Step 2: Convert to fraction form
    199,581.41/299,419.97 = 66,462.86/x
  3. Step 3: Cross multiply
    199,581.41x = 299,419.97 × 66,462.86
  4. Step 4: Simplify right side
    199,581.41x = 19,900,305,717.90
  5. Step 5: Solve for x
    x = 19,900,305,717.90/199,581.41
  6. Step 6: Final answer
    x = 99,710.22

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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.