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Finding the Fourth Proportional to 146,892, 202,728.24 and 87,276

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Solution

The fourth proportional to 146,892, 202,728.24 and 87,276 is: 120,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,892 : 202,728.24 = 87,276 : x
  2. Step 2: Convert to fraction form
    146,892/202,728.24 = 87,276/x
  3. Step 3: Cross multiply
    146,892x = 202,728.24 × 87,276
  4. Step 4: Simplify right side
    146,892x = 17,693,309,874.24
  5. Step 5: Solve for x
    x = 17,693,309,874.24/146,892
  6. Step 6: Final answer
    x = 120,451.15

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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.