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Finding the Fourth Proportional to 146,250, 219,376.20 and 35,442

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Solution

The fourth proportional to 146,250, 219,376.20 and 35,442 is: 53,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,250 : 219,376.20 = 35,442 : x
  2. Step 2: Convert to fraction form
    146,250/219,376.20 = 35,442/x
  3. Step 3: Cross multiply
    146,250x = 219,376.20 × 35,442
  4. Step 4: Simplify right side
    146,250x = 7,775,131,280.40
  5. Step 5: Solve for x
    x = 7,775,131,280.40/146,250
  6. Step 6: Final answer
    x = 53,163.29

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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.