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Finding the Fourth Proportional to 146,702.70, 220,199.85 and 71,907.30

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Solution

The fourth proportional to 146,702.70, 220,199.85 and 71,907.30 is: 107,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,702.70 : 220,199.85 = 71,907.30 : x
  2. Step 2: Convert to fraction form
    146,702.70/220,199.85 = 71,907.30/x
  3. Step 3: Cross multiply
    146,702.70x = 220,199.85 × 71,907.30
  4. Step 4: Simplify right side
    146,702.70x = 15,833,976,673.91
  5. Step 5: Solve for x
    x = 15,833,976,673.91/146,702.70
  6. Step 6: Final answer
    x = 107,932.41

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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.