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Finding the Fourth Proportional to 192,462.42, 288,730.08 and 87,289.68

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Solution

The fourth proportional to 192,462.42, 288,730.08 and 87,289.68 is: 130,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,462.42 : 288,730.08 = 87,289.68 : x
  2. Step 2: Convert to fraction form
    192,462.42/288,730.08 = 87,289.68/x
  3. Step 3: Cross multiply
    192,462.42x = 288,730.08 × 87,289.68
  4. Step 4: Simplify right side
    192,462.42x = 25,203,156,289.57
  5. Step 5: Solve for x
    x = 25,203,156,289.57/192,462.42
  6. Step 6: Final answer
    x = 130,951.05

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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.