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Finding the Fourth Proportional to 146,219, 201,782.49 and 79,151

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Solution

The fourth proportional to 146,219, 201,782.49 and 79,151 is: 109,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,219 : 201,782.49 = 79,151 : x
  2. Step 2: Convert to fraction form
    146,219/201,782.49 = 79,151/x
  3. Step 3: Cross multiply
    146,219x = 201,782.49 × 79,151
  4. Step 4: Simplify right side
    146,219x = 15,971,285,865.99
  5. Step 5: Solve for x
    x = 15,971,285,865.99/146,219
  6. Step 6: Final answer
    x = 109,228.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.