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Finding the Fourth Proportional to 180,320.64, 270,505.56 and 75,115

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Solution

The fourth proportional to 180,320.64, 270,505.56 and 75,115 is: 112,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,320.64 : 270,505.56 = 75,115 : x
  2. Step 2: Convert to fraction form
    180,320.64/270,505.56 = 75,115/x
  3. Step 3: Cross multiply
    180,320.64x = 270,505.56 × 75,115
  4. Step 4: Simplify right side
    180,320.64x = 20,319,025,139.40
  5. Step 5: Solve for x
    x = 20,319,025,139.40/180,320.64
  6. Step 6: Final answer
    x = 112,682.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.