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Finding the Fourth Proportional to 188,538.54, 282,807.80 and 55,419.95

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Solution

The fourth proportional to 188,538.54, 282,807.80 and 55,419.95 is: 83,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,538.54 : 282,807.80 = 55,419.95 : x
  2. Step 2: Convert to fraction form
    188,538.54/282,807.80 = 55,419.95/x
  3. Step 3: Cross multiply
    188,538.54x = 282,807.80 × 55,419.95
  4. Step 4: Simplify right side
    188,538.54x = 15,673,193,494.30
  5. Step 5: Solve for x
    x = 15,673,193,494.30/188,538.54
  6. Step 6: Final answer
    x = 83,129.92

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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.