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Finding the Fourth Proportional to 71,835.60, 107,790.32 and 31,881.96

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Solution

The fourth proportional to 71,835.60, 107,790.32 and 31,881.96 is: 47,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835.60 : 107,790.32 = 31,881.96 : x
  2. Step 2: Convert to fraction form
    71,835.60/107,790.32 = 31,881.96/x
  3. Step 3: Cross multiply
    71,835.60x = 107,790.32 × 31,881.96
  4. Step 4: Simplify right side
    71,835.60x = 3,436,566,670.63
  5. Step 5: Solve for x
    x = 3,436,566,670.63/71,835.60
  6. Step 6: Final answer
    x = 47,839.33

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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.