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Finding the Fourth Proportional to 48,338.82, 72,505.31 and 28,742.09

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Solution

The fourth proportional to 48,338.82, 72,505.31 and 28,742.09 is: 43,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,338.82 : 72,505.31 = 28,742.09 : x
  2. Step 2: Convert to fraction form
    48,338.82/72,505.31 = 28,742.09/x
  3. Step 3: Cross multiply
    48,338.82x = 72,505.31 × 28,742.09
  4. Step 4: Simplify right side
    48,338.82x = 2,083,953,639.26
  5. Step 5: Solve for x
    x = 2,083,953,639.26/48,338.82
  6. Step 6: Final answer
    x = 43,111.39

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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.