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Finding the Fourth Proportional to 154,393.20, 213,060.24 and 86,409

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Solution

The fourth proportional to 154,393.20, 213,060.24 and 86,409 is: 119,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,393.20 : 213,060.24 = 86,409 : x
  2. Step 2: Convert to fraction form
    154,393.20/213,060.24 = 86,409/x
  3. Step 3: Cross multiply
    154,393.20x = 213,060.24 × 86,409
  4. Step 4: Simplify right side
    154,393.20x = 18,410,322,278.16
  5. Step 5: Solve for x
    x = 18,410,322,278.16/154,393.20
  6. Step 6: Final answer
    x = 119,243.09

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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.