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Finding the Fourth Proportional to 162,009.64, 243,023.10 and 51,193

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Solution

The fourth proportional to 162,009.64, 243,023.10 and 51,193 is: 76,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,009.64 : 243,023.10 = 51,193 : x
  2. Step 2: Convert to fraction form
    162,009.64/243,023.10 = 51,193/x
  3. Step 3: Cross multiply
    162,009.64x = 243,023.10 × 51,193
  4. Step 4: Simplify right side
    162,009.64x = 12,441,081,558.30
  5. Step 5: Solve for x
    x = 12,441,081,558.30/162,009.64
  6. Step 6: Final answer
    x = 76,792.23

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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.