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Finding the Fourth Proportional to 162,163.44, 243,183.12 and 77,900.16

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Solution

The fourth proportional to 162,163.44, 243,183.12 and 77,900.16 is: 116,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,163.44 : 243,183.12 = 77,900.16 : x
  2. Step 2: Convert to fraction form
    162,163.44/243,183.12 = 77,900.16/x
  3. Step 3: Cross multiply
    162,163.44x = 243,183.12 × 77,900.16
  4. Step 4: Simplify right side
    162,163.44x = 18,944,003,957.30
  5. Step 5: Solve for x
    x = 18,944,003,957.30/162,163.44
  6. Step 6: Final answer
    x = 116,820.44

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1.5x scale

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.