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Finding the Fourth Proportional to 103,291.76, 154,943.40 and 29,414

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Solution

The fourth proportional to 103,291.76, 154,943.40 and 29,414 is: 44,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,291.76 : 154,943.40 = 29,414 : x
  2. Step 2: Convert to fraction form
    103,291.76/154,943.40 = 29,414/x
  3. Step 3: Cross multiply
    103,291.76x = 154,943.40 × 29,414
  4. Step 4: Simplify right side
    103,291.76x = 4,557,505,167.60
  5. Step 5: Solve for x
    x = 4,557,505,167.60/103,291.76
  6. Step 6: Final answer
    x = 44,122.64

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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.