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Finding the Fourth Proportional to 231,685.20, 347,722.20 and 113,457.60

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Solution

The fourth proportional to 231,685.20, 347,722.20 and 113,457.60 is: 170,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,685.20 : 347,722.20 = 113,457.60 : x
  2. Step 2: Convert to fraction form
    231,685.20/347,722.20 = 113,457.60/x
  3. Step 3: Cross multiply
    231,685.20x = 347,722.20 × 113,457.60
  4. Step 4: Simplify right side
    231,685.20x = 39,451,726,278.72
  5. Step 5: Solve for x
    x = 39,451,726,278.72/231,685.20
  6. Step 6: Final answer
    x = 170,281.60

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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.