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Finding the Fourth Proportional to 161,340.60, 242,018.82 and 43,013

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Solution

The fourth proportional to 161,340.60, 242,018.82 and 43,013 is: 64,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,340.60 : 242,018.82 = 43,013 : x
  2. Step 2: Convert to fraction form
    161,340.60/242,018.82 = 43,013/x
  3. Step 3: Cross multiply
    161,340.60x = 242,018.82 × 43,013
  4. Step 4: Simplify right side
    161,340.60x = 10,409,955,504.66
  5. Step 5: Solve for x
    x = 10,409,955,504.66/161,340.60
  6. Step 6: Final answer
    x = 64,521.61

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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.