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Finding the Fourth Proportional to 63,357, 87,431.31 and 34,676.66

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Solution

The fourth proportional to 63,357, 87,431.31 and 34,676.66 is: 47,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,357 : 87,431.31 = 34,676.66 : x
  2. Step 2: Convert to fraction form
    63,357/87,431.31 = 34,676.66/x
  3. Step 3: Cross multiply
    63,357x = 87,431.31 × 34,676.66
  4. Step 4: Simplify right side
    63,357x = 3,031,825,373.07
  5. Step 5: Solve for x
    x = 3,031,825,373.07/63,357
  6. Step 6: Final answer
    x = 47,853.05

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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.