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Finding the Fourth Proportional to 105,964.60, 158,865.90 and 53,411.80

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Solution

The fourth proportional to 105,964.60, 158,865.90 and 53,411.80 is: 80,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,964.60 : 158,865.90 = 53,411.80 : x
  2. Step 2: Convert to fraction form
    105,964.60/158,865.90 = 53,411.80/x
  3. Step 3: Cross multiply
    105,964.60x = 158,865.90 × 53,411.80
  4. Step 4: Simplify right side
    105,964.60x = 8,485,313,677.62
  5. Step 5: Solve for x
    x = 8,485,313,677.62/105,964.60
  6. Step 6: Final answer
    x = 80,076.87

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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.