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Finding the Fourth Proportional to 128,472.27, 192,709.61 and 57,398.48

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Solution

The fourth proportional to 128,472.27, 192,709.61 and 57,398.48 is: 86,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,472.27 : 192,709.61 = 57,398.48 : x
  2. Step 2: Convert to fraction form
    128,472.27/192,709.61 = 57,398.48/x
  3. Step 3: Cross multiply
    128,472.27x = 192,709.61 × 57,398.48
  4. Step 4: Simplify right side
    128,472.27x = 11,061,238,695.39
  5. Step 5: Solve for x
    x = 11,061,238,695.39/128,472.27
  6. Step 6: Final answer
    x = 86,098.26

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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.