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Finding the Fourth Proportional to 75,472.89, 113,213.19 and 19,313.48

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Solution

The fourth proportional to 75,472.89, 113,213.19 and 19,313.48 is: 28,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,472.89 : 113,213.19 = 19,313.48 : x
  2. Step 2: Convert to fraction form
    75,472.89/113,213.19 = 19,313.48/x
  3. Step 3: Cross multiply
    75,472.89x = 113,213.19 × 19,313.48
  4. Step 4: Simplify right side
    75,472.89x = 2,186,540,680.80
  5. Step 5: Solve for x
    x = 2,186,540,680.80/75,472.89
  6. Step 6: Final answer
    x = 28,971.21

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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.