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Finding the Fourth Proportional to 161,805.30, 242,669.07 and 82,878.90

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Solution

The fourth proportional to 161,805.30, 242,669.07 and 82,878.90 is: 124,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,805.30 : 242,669.07 = 82,878.90 : x
  2. Step 2: Convert to fraction form
    161,805.30/242,669.07 = 82,878.90/x
  3. Step 3: Cross multiply
    161,805.30x = 242,669.07 × 82,878.90
  4. Step 4: Simplify right side
    161,805.30x = 20,112,145,585.62
  5. Step 5: Solve for x
    x = 20,112,145,585.62/161,805.30
  6. Step 6: Final answer
    x = 124,298.44

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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.