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Finding the Fourth Proportional to 71,728.84, 107,623.14 and 38,440.36

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Solution

The fourth proportional to 71,728.84, 107,623.14 and 38,440.36 is: 57,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728.84 : 107,623.14 = 38,440.36 : x
  2. Step 2: Convert to fraction form
    71,728.84/107,623.14 = 38,440.36/x
  3. Step 3: Cross multiply
    71,728.84x = 107,623.14 × 38,440.36
  4. Step 4: Simplify right side
    71,728.84x = 4,137,072,245.93
  5. Step 5: Solve for x
    x = 4,137,072,245.93/71,728.84
  6. Step 6: Final answer
    x = 57,676.55

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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.