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Finding the Fourth Proportional to 216,097.20, 323,998.20 and 97,704

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Solution

The fourth proportional to 216,097.20, 323,998.20 and 97,704 is: 146,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,097.20 : 323,998.20 = 97,704 : x
  2. Step 2: Convert to fraction form
    216,097.20/323,998.20 = 97,704/x
  3. Step 3: Cross multiply
    216,097.20x = 323,998.20 × 97,704
  4. Step 4: Simplify right side
    216,097.20x = 31,655,920,132.80
  5. Step 5: Solve for x
    x = 31,655,920,132.80/216,097.20
  6. Step 6: Final answer
    x = 146,489.27

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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.