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Finding the Fourth Proportional to 146,722.60, 219,986.70 and 53,216.20

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Solution

The fourth proportional to 146,722.60, 219,986.70 and 53,216.20 is: 79,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,722.60 : 219,986.70 = 53,216.20 : x
  2. Step 2: Convert to fraction form
    146,722.60/219,986.70 = 53,216.20/x
  3. Step 3: Cross multiply
    146,722.60x = 219,986.70 × 53,216.20
  4. Step 4: Simplify right side
    146,722.60x = 11,706,856,224.54
  5. Step 5: Solve for x
    x = 11,706,856,224.54/146,722.60
  6. Step 6: Final answer
    x = 79,789.05

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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.