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Finding the Fourth Proportional to 162,008.64, 243,021.60 and 51,192

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Solution

The fourth proportional to 162,008.64, 243,021.60 and 51,192 is: 76,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,008.64 : 243,021.60 = 51,192 : x
  2. Step 2: Convert to fraction form
    162,008.64/243,021.60 = 51,192/x
  3. Step 3: Cross multiply
    162,008.64x = 243,021.60 × 51,192
  4. Step 4: Simplify right side
    162,008.64x = 12,440,761,747.20
  5. Step 5: Solve for x
    x = 12,440,761,747.20/162,008.64
  6. Step 6: Final answer
    x = 76,790.73

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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.