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Finding the Fourth Proportional to 199,018.53, 298,472.37 and 65,909.16

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Solution

The fourth proportional to 199,018.53, 298,472.37 and 65,909.16 is: 98,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,018.53 : 298,472.37 = 65,909.16 : x
  2. Step 2: Convert to fraction form
    199,018.53/298,472.37 = 65,909.16/x
  3. Step 3: Cross multiply
    199,018.53x = 298,472.37 × 65,909.16
  4. Step 4: Simplify right side
    199,018.53x = 19,672,063,189.91
  5. Step 5: Solve for x
    x = 19,672,063,189.91/199,018.53
  6. Step 6: Final answer
    x = 98,845.39

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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.