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Finding the Fourth Proportional to 71,676.84, 107,572.14 and 38,421.48

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Solution

The fourth proportional to 71,676.84, 107,572.14 and 38,421.48 is: 57,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.84 : 107,572.14 = 38,421.48 : x
  2. Step 2: Convert to fraction form
    71,676.84/107,572.14 = 38,421.48/x
  3. Step 3: Cross multiply
    71,676.84x = 107,572.14 × 38,421.48
  4. Step 4: Simplify right side
    71,676.84x = 4,133,080,825.57
  5. Step 5: Solve for x
    x = 4,133,080,825.57/71,676.84
  6. Step 6: Final answer
    x = 57,662.71

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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.