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Finding the Fourth Proportional to 217,903.86, 326,855.79 and 99,543.42

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Solution

The fourth proportional to 217,903.86, 326,855.79 and 99,543.42 is: 149,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,903.86 : 326,855.79 = 99,543.42 : x
  2. Step 2: Convert to fraction form
    217,903.86/326,855.79 = 99,543.42/x
  3. Step 3: Cross multiply
    217,903.86x = 326,855.79 × 99,543.42
  4. Step 4: Simplify right side
    217,903.86x = 32,536,343,183.40
  5. Step 5: Solve for x
    x = 32,536,343,183.40/217,903.86
  6. Step 6: Final answer
    x = 149,315.13

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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.