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Finding the Fourth Proportional to 71,537.86, 107,308.84 and 18,947.34

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Solution

The fourth proportional to 71,537.86, 107,308.84 and 18,947.34 is: 28,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.86 : 107,308.84 = 18,947.34 : x
  2. Step 2: Convert to fraction form
    71,537.86/107,308.84 = 18,947.34/x
  3. Step 3: Cross multiply
    71,537.86x = 107,308.84 × 18,947.34
  4. Step 4: Simplify right side
    71,537.86x = 2,033,217,502.58
  5. Step 5: Solve for x
    x = 2,033,217,502.58/71,537.86
  6. Step 6: Final answer
    x = 28,421.56

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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.