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Finding the Fourth Proportional to 71,838.48, 107,740.40 and 31,835.44

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Solution

The fourth proportional to 71,838.48, 107,740.40 and 31,835.44 is: 47,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.48 : 107,740.40 = 31,835.44 : x
  2. Step 2: Convert to fraction form
    71,838.48/107,740.40 = 31,835.44/x
  3. Step 3: Cross multiply
    71,838.48x = 107,740.40 × 31,835.44
  4. Step 4: Simplify right side
    71,838.48x = 3,429,963,039.78
  5. Step 5: Solve for x
    x = 3,429,963,039.78/71,838.48
  6. Step 6: Final answer
    x = 47,745.48

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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.