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Finding the Fourth Proportional to 70,408.32, 97,161.98 and 38,576.54

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Solution

The fourth proportional to 70,408.32, 97,161.98 and 38,576.54 is: 53,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408.32 : 97,161.98 = 38,576.54 : x
  2. Step 2: Convert to fraction form
    70,408.32/97,161.98 = 38,576.54/x
  3. Step 3: Cross multiply
    70,408.32x = 97,161.98 × 38,576.54
  4. Step 4: Simplify right side
    70,408.32x = 3,748,172,329.26
  5. Step 5: Solve for x
    x = 3,748,172,329.26/70,408.32
  6. Step 6: Final answer
    x = 53,234.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.