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Finding the Fourth Proportional to 162,002.20, 243,003.30 and 120,530.20

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Solution

The fourth proportional to 162,002.20, 243,003.30 and 120,530.20 is: 180,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.20 : 243,003.30 = 120,530.20 : x
  2. Step 2: Convert to fraction form
    162,002.20/243,003.30 = 120,530.20/x
  3. Step 3: Cross multiply
    162,002.20x = 243,003.30 × 120,530.20
  4. Step 4: Simplify right side
    162,002.20x = 29,289,236,349.66
  5. Step 5: Solve for x
    x = 29,289,236,349.66/162,002.20
  6. Step 6: Final answer
    x = 180,795.30

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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.