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Finding the Fourth Proportional to 71,139.24, 106,721.10 and 31,695.48

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Solution

The fourth proportional to 71,139.24, 106,721.10 and 31,695.48 is: 47,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,139.24 : 106,721.10 = 31,695.48 : x
  2. Step 2: Convert to fraction form
    71,139.24/106,721.10 = 31,695.48/x
  3. Step 3: Cross multiply
    71,139.24x = 106,721.10 × 31,695.48
  4. Step 4: Simplify right side
    71,139.24x = 3,382,576,490.63
  5. Step 5: Solve for x
    x = 3,382,576,490.63/71,139.24
  6. Step 6: Final answer
    x = 47,548.67

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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.