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Finding the Fourth Proportional to 71,911.77, 107,829.64 and 31,913.37

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Solution

The fourth proportional to 71,911.77, 107,829.64 and 31,913.37 is: 47,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,911.77 : 107,829.64 = 31,913.37 : x
  2. Step 2: Convert to fraction form
    71,911.77/107,829.64 = 31,913.37/x
  3. Step 3: Cross multiply
    71,911.77x = 107,829.64 × 31,913.37
  4. Step 4: Simplify right side
    71,911.77x = 3,441,207,238.18
  5. Step 5: Solve for x
    x = 3,441,207,238.18/71,911.77
  6. Step 6: Final answer
    x = 47,853.19

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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.