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Finding the Fourth Proportional to 103,863.89, 155,733.56 and 47,633.57

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Solution

The fourth proportional to 103,863.89, 155,733.56 and 47,633.57 is: 71,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,863.89 : 155,733.56 = 47,633.57 : x
  2. Step 2: Convert to fraction form
    103,863.89/155,733.56 = 47,633.57/x
  3. Step 3: Cross multiply
    103,863.89x = 155,733.56 × 47,633.57
  4. Step 4: Simplify right side
    103,863.89x = 7,418,144,414.77
  5. Step 5: Solve for x
    x = 7,418,144,414.77/103,863.89
  6. Step 6: Final answer
    x = 71,421.79

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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.