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Finding the Fourth Proportional to 52,480.38, 78,731.81 and 19,200.32

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Solution

The fourth proportional to 52,480.38, 78,731.81 and 19,200.32 is: 28,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,480.38 : 78,731.81 = 19,200.32 : x
  2. Step 2: Convert to fraction form
    52,480.38/78,731.81 = 19,200.32/x
  3. Step 3: Cross multiply
    52,480.38x = 78,731.81 × 19,200.32
  4. Step 4: Simplify right side
    52,480.38x = 1,511,675,456.52
  5. Step 5: Solve for x
    x = 1,511,675,456.52/52,480.38
  6. Step 6: Final answer
    x = 28,804.58

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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.