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Finding the Fourth Proportional to 178,369, 246,187.62 and 106,765

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Solution

The fourth proportional to 178,369, 246,187.62 and 106,765 is: 147,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,369 : 246,187.62 = 106,765 : x
  2. Step 2: Convert to fraction form
    178,369/246,187.62 = 106,765/x
  3. Step 3: Cross multiply
    178,369x = 246,187.62 × 106,765
  4. Step 4: Simplify right side
    178,369x = 26,284,221,249.30
  5. Step 5: Solve for x
    x = 26,284,221,249.30/178,369
  6. Step 6: Final answer
    x = 147,358.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.