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Finding the Fourth Proportional to 77,861.34, 116,787.15 and 31,080.60

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Solution

The fourth proportional to 77,861.34, 116,787.15 and 31,080.60 is: 46,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,861.34 : 116,787.15 = 31,080.60 : x
  2. Step 2: Convert to fraction form
    77,861.34/116,787.15 = 31,080.60/x
  3. Step 3: Cross multiply
    77,861.34x = 116,787.15 × 31,080.60
  4. Step 4: Simplify right side
    77,861.34x = 3,629,814,694.29
  5. Step 5: Solve for x
    x = 3,629,814,694.29/77,861.34
  6. Step 6: Final answer
    x = 46,618.96

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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.