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Finding the Fourth Proportional to 199,143.92, 298,709.88 and 80,812.40

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Solution

The fourth proportional to 199,143.92, 298,709.88 and 80,812.40 is: 121,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,143.92 : 298,709.88 = 80,812.40 : x
  2. Step 2: Convert to fraction form
    199,143.92/298,709.88 = 80,812.40/x
  3. Step 3: Cross multiply
    199,143.92x = 298,709.88 × 80,812.40
  4. Step 4: Simplify right side
    199,143.92x = 24,139,462,306.51
  5. Step 5: Solve for x
    x = 24,139,462,306.51/199,143.92
  6. Step 6: Final answer
    x = 121,216.17

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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.