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Finding the Fourth Proportional to 180,552.32, 270,667.88 and 85,724.00

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Solution

The fourth proportional to 180,552.32, 270,667.88 and 85,724.00 is: 128,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,552.32 : 270,667.88 = 85,724.00 : x
  2. Step 2: Convert to fraction form
    180,552.32/270,667.88 = 85,724.00/x
  3. Step 3: Cross multiply
    180,552.32x = 270,667.88 × 85,724.00
  4. Step 4: Simplify right side
    180,552.32x = 23,202,734,422.14
  5. Step 5: Solve for x
    x = 23,202,734,422.14/180,552.32
  6. Step 6: Final answer
    x = 128,509.75

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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.