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Finding the Fourth Proportional to 180,054.64, 270,140.28 and 86,548.24

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Solution

The fourth proportional to 180,054.64, 270,140.28 and 86,548.24 is: 129,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,054.64 : 270,140.28 = 86,548.24 : x
  2. Step 2: Convert to fraction form
    180,054.64/270,140.28 = 86,548.24/x
  3. Step 3: Cross multiply
    180,054.64x = 270,140.28 × 86,548.24
  4. Step 4: Simplify right side
    180,054.64x = 23,380,165,787.11
  5. Step 5: Solve for x
    x = 23,380,165,787.11/180,054.64
  6. Step 6: Final answer
    x = 129,850.39

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1.5x scale

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.