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Finding the Fourth Proportional to 71,173.30, 106,793.16 and 31,726.30

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Solution

The fourth proportional to 71,173.30, 106,793.16 and 31,726.30 is: 47,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,173.30 : 106,793.16 = 31,726.30 : x
  2. Step 2: Convert to fraction form
    71,173.30/106,793.16 = 31,726.30/x
  3. Step 3: Cross multiply
    71,173.30x = 106,793.16 × 31,726.30
  4. Step 4: Simplify right side
    71,173.30x = 3,388,151,832.11
  5. Step 5: Solve for x
    x = 3,388,151,832.11/71,173.30
  6. Step 6: Final answer
    x = 47,604.25

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1.5x scale

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.