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Finding the Fourth Proportional to 128,406.42, 192,609.09 and 34,911.90

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Solution

The fourth proportional to 128,406.42, 192,609.09 and 34,911.90 is: 52,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,406.42 : 192,609.09 = 34,911.90 : x
  2. Step 2: Convert to fraction form
    128,406.42/192,609.09 = 34,911.90/x
  3. Step 3: Cross multiply
    128,406.42x = 192,609.09 × 34,911.90
  4. Step 4: Simplify right side
    128,406.42x = 6,724,349,289.17
  5. Step 5: Solve for x
    x = 6,724,349,289.17/128,406.42
  6. Step 6: Final answer
    x = 52,367.70

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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.