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Finding the Fourth Proportional to 68,974.48, 103,364.52 and 31,442.32

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Solution

The fourth proportional to 68,974.48, 103,364.52 and 31,442.32 is: 47,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,974.48 : 103,364.52 = 31,442.32 : x
  2. Step 2: Convert to fraction form
    68,974.48/103,364.52 = 31,442.32/x
  3. Step 3: Cross multiply
    68,974.48x = 103,364.52 × 31,442.32
  4. Step 4: Simplify right side
    68,974.48x = 3,250,020,314.49
  5. Step 5: Solve for x
    x = 3,250,020,314.49/68,974.48
  6. Step 6: Final answer
    x = 47,119.17

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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.