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Finding the Fourth Proportional to 161,871.64, 242,829.62 and 55,227

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Solution

The fourth proportional to 161,871.64, 242,829.62 and 55,227 is: 82,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,871.64 : 242,829.62 = 55,227 : x
  2. Step 2: Convert to fraction form
    161,871.64/242,829.62 = 55,227/x
  3. Step 3: Cross multiply
    161,871.64x = 242,829.62 × 55,227
  4. Step 4: Simplify right side
    161,871.64x = 13,410,751,423.74
  5. Step 5: Solve for x
    x = 13,410,751,423.74/161,871.64
  6. Step 6: Final answer
    x = 82,848.06

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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.