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Finding the Fourth Proportional to 128,426.43, 192,678.44 and 38,472.06

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Solution

The fourth proportional to 128,426.43, 192,678.44 and 38,472.06 is: 57,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,426.43 : 192,678.44 = 38,472.06 : x
  2. Step 2: Convert to fraction form
    128,426.43/192,678.44 = 38,472.06/x
  3. Step 3: Cross multiply
    128,426.43x = 192,678.44 × 38,472.06
  4. Step 4: Simplify right side
    128,426.43x = 7,412,736,312.03
  5. Step 5: Solve for x
    x = 7,412,736,312.03/128,426.43
  6. Step 6: Final answer
    x = 57,719.71

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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.