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Finding the Fourth Proportional to 55,854.72, 83,769.92 and 19,836

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Solution

The fourth proportional to 55,854.72, 83,769.92 and 19,836 is: 29,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.72 : 83,769.92 = 19,836 : x
  2. Step 2: Convert to fraction form
    55,854.72/83,769.92 = 19,836/x
  3. Step 3: Cross multiply
    55,854.72x = 83,769.92 × 19,836
  4. Step 4: Simplify right side
    55,854.72x = 1,661,660,133.12
  5. Step 5: Solve for x
    x = 1,661,660,133.12/55,854.72
  6. Step 6: Final answer
    x = 29,749.68

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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.