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Finding the Fourth Proportional to 103,864.88, 155,734.97 and 47,634.54

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Solution

The fourth proportional to 103,864.88, 155,734.97 and 47,634.54 is: 71,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,864.88 : 155,734.97 = 47,634.54 : x
  2. Step 2: Convert to fraction form
    103,864.88/155,734.97 = 47,634.54/x
  3. Step 3: Cross multiply
    103,864.88x = 155,734.97 × 47,634.54
  4. Step 4: Simplify right side
    103,864.88x = 7,418,363,419.69
  5. Step 5: Solve for x
    x = 7,418,363,419.69/103,864.88
  6. Step 6: Final answer
    x = 71,423.22

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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.