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Finding the Fourth Proportional to 207,697.44, 311,339.12 and 87,784.64

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Solution

The fourth proportional to 207,697.44, 311,339.12 and 87,784.64 is: 131,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,697.44 : 311,339.12 = 87,784.64 : x
  2. Step 2: Convert to fraction form
    207,697.44/311,339.12 = 87,784.64/x
  3. Step 3: Cross multiply
    207,697.44x = 311,339.12 × 87,784.64
  4. Step 4: Simplify right side
    207,697.44x = 27,330,792,567.12
  5. Step 5: Solve for x
    x = 27,330,792,567.12/207,697.44
  6. Step 6: Final answer
    x = 131,589.45

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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.