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Finding the Fourth Proportional to 71,133.93, 106,627.10 and 31,709.61

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Solution

The fourth proportional to 71,133.93, 106,627.10 and 31,709.61 is: 47,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,133.93 : 106,627.10 = 31,709.61 : x
  2. Step 2: Convert to fraction form
    71,133.93/106,627.10 = 31,709.61/x
  3. Step 3: Cross multiply
    71,133.93x = 106,627.10 × 31,709.61
  4. Step 4: Simplify right side
    71,133.93x = 3,381,103,597.88
  5. Step 5: Solve for x
    x = 3,381,103,597.88/71,133.93
  6. Step 6: Final answer
    x = 47,531.52

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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.