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Finding the Fourth Proportional to 92,046.23, 138,069.68 and 28,005

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Solution

The fourth proportional to 92,046.23, 138,069.68 and 28,005 is: 42,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,046.23 : 138,069.68 = 28,005 : x
  2. Step 2: Convert to fraction form
    92,046.23/138,069.68 = 28,005/x
  3. Step 3: Cross multiply
    92,046.23x = 138,069.68 × 28,005
  4. Step 4: Simplify right side
    92,046.23x = 3,866,641,388.40
  5. Step 5: Solve for x
    x = 3,866,641,388.40/92,046.23
  6. Step 6: Final answer
    x = 42,007.60

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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.