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Finding the Fourth Proportional to 47,172, 70,757.99 and 12,111.65

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Solution

The fourth proportional to 47,172, 70,757.99 and 12,111.65 is: 18,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,172 : 70,757.99 = 12,111.65 : x
  2. Step 2: Convert to fraction form
    47,172/70,757.99 = 12,111.65/x
  3. Step 3: Cross multiply
    47,172x = 70,757.99 × 12,111.65
  4. Step 4: Simplify right side
    47,172x = 856,995,595.24
  5. Step 5: Solve for x
    x = 856,995,595.24/47,172
  6. Step 6: Final answer
    x = 18,167.46

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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.