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Finding the Fourth Proportional to 192,197.80, 288,296.70 and 97,719.40

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Solution

The fourth proportional to 192,197.80, 288,296.70 and 97,719.40 is: 146,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,197.80 : 288,296.70 = 97,719.40 : x
  2. Step 2: Convert to fraction form
    192,197.80/288,296.70 = 97,719.40/x
  3. Step 3: Cross multiply
    192,197.80x = 288,296.70 × 97,719.40
  4. Step 4: Simplify right side
    192,197.80x = 28,172,180,545.98
  5. Step 5: Solve for x
    x = 28,172,180,545.98/192,197.80
  6. Step 6: Final answer
    x = 146,579.10

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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.