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Finding the Fourth Proportional to 146,203.23, 219,128.13 and 71,211

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Solution

The fourth proportional to 146,203.23, 219,128.13 and 71,211 is: 106,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,203.23 : 219,128.13 = 71,211 : x
  2. Step 2: Convert to fraction form
    146,203.23/219,128.13 = 71,211/x
  3. Step 3: Cross multiply
    146,203.23x = 219,128.13 × 71,211
  4. Step 4: Simplify right side
    146,203.23x = 15,604,333,265.43
  5. Step 5: Solve for x
    x = 15,604,333,265.43/146,203.23
  6. Step 6: Final answer
    x = 106,730.43

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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.