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Finding the Fourth Proportional to 68,823.78, 103,177.14 and 31,370.64

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Solution

The fourth proportional to 68,823.78, 103,177.14 and 31,370.64 is: 47,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,823.78 : 103,177.14 = 31,370.64 : x
  2. Step 2: Convert to fraction form
    68,823.78/103,177.14 = 31,370.64/x
  3. Step 3: Cross multiply
    68,823.78x = 103,177.14 × 31,370.64
  4. Step 4: Simplify right side
    68,823.78x = 3,236,732,915.17
  5. Step 5: Solve for x
    x = 3,236,732,915.17/68,823.78
  6. Step 6: Final answer
    x = 47,029.28

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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.