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Finding the Fourth Proportional to 162,810.20, 244,215.30 and 120,819.80

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Solution

The fourth proportional to 162,810.20, 244,215.30 and 120,819.80 is: 181,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,810.20 : 244,215.30 = 120,819.80 : x
  2. Step 2: Convert to fraction form
    162,810.20/244,215.30 = 120,819.80/x
  3. Step 3: Cross multiply
    162,810.20x = 244,215.30 × 120,819.80
  4. Step 4: Simplify right side
    162,810.20x = 29,506,043,702.94
  5. Step 5: Solve for x
    x = 29,506,043,702.94/162,810.20
  6. Step 6: Final answer
    x = 181,229.70

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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.