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Finding the Fourth Proportional to 192,092.16, 264,769.92 and 128,406.72

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Solution

The fourth proportional to 192,092.16, 264,769.92 and 128,406.72 is: 176,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,092.16 : 264,769.92 = 128,406.72 : x
  2. Step 2: Convert to fraction form
    192,092.16/264,769.92 = 128,406.72/x
  3. Step 3: Cross multiply
    192,092.16x = 264,769.92 × 128,406.72
  4. Step 4: Simplify right side
    192,092.16x = 33,998,236,981.86
  5. Step 5: Solve for x
    x = 33,998,236,981.86/192,092.16
  6. Step 6: Final answer
    x = 176,989.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.