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Finding the Fourth Proportional to 159,724.21, 239,382.80 and 84,880.21

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Solution

The fourth proportional to 159,724.21, 239,382.80 and 84,880.21 is: 127,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,724.21 : 239,382.80 = 84,880.21 : x
  2. Step 2: Convert to fraction form
    159,724.21/239,382.80 = 84,880.21/x
  3. Step 3: Cross multiply
    159,724.21x = 239,382.80 × 84,880.21
  4. Step 4: Simplify right side
    159,724.21x = 20,318,862,334.39
  5. Step 5: Solve for x
    x = 20,318,862,334.39/159,724.21
  6. Step 6: Final answer
    x = 127,212.16

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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.