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Finding the Fourth Proportional to 288,689.92, 432,769.92 and 111,143.68

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Solution

The fourth proportional to 288,689.92, 432,769.92 and 111,143.68 is: 166,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,689.92 : 432,769.92 = 111,143.68 : x
  2. Step 2: Convert to fraction form
    288,689.92/432,769.92 = 111,143.68/x
  3. Step 3: Cross multiply
    288,689.92x = 432,769.92 × 111,143.68
  4. Step 4: Simplify right side
    288,689.92x = 48,099,641,502.11
  5. Step 5: Solve for x
    x = 48,099,641,502.11/288,689.92
  6. Step 6: Final answer
    x = 166,613.51

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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.