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Finding the Fourth Proportional to 71,186.40, 106,747.20 and 31,723.20

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Solution

The fourth proportional to 71,186.40, 106,747.20 and 31,723.20 is: 47,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,186.40 : 106,747.20 = 31,723.20 : x
  2. Step 2: Convert to fraction form
    71,186.40/106,747.20 = 31,723.20/x
  3. Step 3: Cross multiply
    71,186.40x = 106,747.20 × 31,723.20
  4. Step 4: Simplify right side
    71,186.40x = 3,386,362,775.04
  5. Step 5: Solve for x
    x = 3,386,362,775.04/71,186.40
  6. Step 6: Final answer
    x = 47,570.36

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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.