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Finding the Fourth Proportional to 108,018.20, 161,978.70 and 41,436.20

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Solution

The fourth proportional to 108,018.20, 161,978.70 and 41,436.20 is: 62,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,018.20 : 161,978.70 = 41,436.20 : x
  2. Step 2: Convert to fraction form
    108,018.20/161,978.70 = 41,436.20/x
  3. Step 3: Cross multiply
    108,018.20x = 161,978.70 × 41,436.20
  4. Step 4: Simplify right side
    108,018.20x = 6,711,781,808.94
  5. Step 5: Solve for x
    x = 6,711,781,808.94/108,018.20
  6. Step 6: Final answer
    x = 62,135.66

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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.