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Finding the Fourth Proportional to 154,896.48, 213,753.78 and 86,912.28

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Solution

The fourth proportional to 154,896.48, 213,753.78 and 86,912.28 is: 119,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,896.48 : 213,753.78 = 86,912.28 : x
  2. Step 2: Convert to fraction form
    154,896.48/213,753.78 = 86,912.28/x
  3. Step 3: Cross multiply
    154,896.48x = 213,753.78 × 86,912.28
  4. Step 4: Simplify right side
    154,896.48x = 18,577,828,378.42
  5. Step 5: Solve for x
    x = 18,577,828,378.42/154,896.48
  6. Step 6: Final answer
    x = 119,937.06

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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.