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Finding the Fourth Proportional to 161,654.23, 242,481.80 and 56,473.20

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Solution

The fourth proportional to 161,654.23, 242,481.80 and 56,473.20 is: 84,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,654.23 : 242,481.80 = 56,473.20 : x
  2. Step 2: Convert to fraction form
    161,654.23/242,481.80 = 56,473.20/x
  3. Step 3: Cross multiply
    161,654.23x = 242,481.80 × 56,473.20
  4. Step 4: Simplify right side
    161,654.23x = 13,693,723,328.94
  5. Step 5: Solve for x
    x = 13,693,723,328.94/161,654.23
  6. Step 6: Final answer
    x = 84,709.96

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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.