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Finding the Fourth Proportional to 68,946.78, 103,324.49 and 31,415.13

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Solution

The fourth proportional to 68,946.78, 103,324.49 and 31,415.13 is: 47,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,946.78 : 103,324.49 = 31,415.13 : x
  2. Step 2: Convert to fraction form
    68,946.78/103,324.49 = 31,415.13/x
  3. Step 3: Cross multiply
    68,946.78x = 103,324.49 × 31,415.13
  4. Step 4: Simplify right side
    68,946.78x = 3,245,952,128.46
  5. Step 5: Solve for x
    x = 3,245,952,128.46/68,946.78
  6. Step 6: Final answer
    x = 47,079.10

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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.