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Finding the Fourth Proportional to 188,455.68, 282,614.40 and 55,301.76

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Solution

The fourth proportional to 188,455.68, 282,614.40 and 55,301.76 is: 82,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,455.68 : 282,614.40 = 55,301.76 : x
  2. Step 2: Convert to fraction form
    188,455.68/282,614.40 = 55,301.76/x
  3. Step 3: Cross multiply
    188,455.68x = 282,614.40 × 55,301.76
  4. Step 4: Simplify right side
    188,455.68x = 15,629,073,721.34
  5. Step 5: Solve for x
    x = 15,629,073,721.34/188,455.68
  6. Step 6: Final answer
    x = 82,932.36

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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.