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Finding the Fourth Proportional to 171,063.60, 256,741.20 and 76,439.40

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Solution

The fourth proportional to 171,063.60, 256,741.20 and 76,439.40 is: 114,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,063.60 : 256,741.20 = 76,439.40 : x
  2. Step 2: Convert to fraction form
    171,063.60/256,741.20 = 76,439.40/x
  3. Step 3: Cross multiply
    171,063.60x = 256,741.20 × 76,439.40
  4. Step 4: Simplify right side
    171,063.60x = 19,625,143,283.28
  5. Step 5: Solve for x
    x = 19,625,143,283.28/171,063.60
  6. Step 6: Final answer
    x = 114,724.25

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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.