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Finding the Fourth Proportional to 216,022.86, 323,939.25 and 97,689.42

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Solution

The fourth proportional to 216,022.86, 323,939.25 and 97,689.42 is: 146,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,022.86 : 323,939.25 = 97,689.42 : x
  2. Step 2: Convert to fraction form
    216,022.86/323,939.25 = 97,689.42/x
  3. Step 3: Cross multiply
    216,022.86x = 323,939.25 × 97,689.42
  4. Step 4: Simplify right side
    216,022.86x = 31,645,437,447.74
  5. Step 5: Solve for x
    x = 31,645,437,447.74/216,022.86
  6. Step 6: Final answer
    x = 146,491.15

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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.