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Finding the Fourth Proportional to 68,112.24, 102,148.92 and 28,662

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Solution

The fourth proportional to 68,112.24, 102,148.92 and 28,662 is: 42,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,112.24 : 102,148.92 = 28,662 : x
  2. Step 2: Convert to fraction form
    68,112.24/102,148.92 = 28,662/x
  3. Step 3: Cross multiply
    68,112.24x = 102,148.92 × 28,662
  4. Step 4: Simplify right side
    68,112.24x = 2,927,792,345.04
  5. Step 5: Solve for x
    x = 2,927,792,345.04/68,112.24
  6. Step 6: Final answer
    x = 42,984.82

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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.