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Finding the Fourth Proportional to 259,502.32, 389,201.64 and 72,515.44

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Solution

The fourth proportional to 259,502.32, 389,201.64 and 72,515.44 is: 108,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,502.32 : 389,201.64 = 72,515.44 : x
  2. Step 2: Convert to fraction form
    259,502.32/389,201.64 = 72,515.44/x
  3. Step 3: Cross multiply
    259,502.32x = 389,201.64 × 72,515.44
  4. Step 4: Simplify right side
    259,502.32x = 28,223,128,173.32
  5. Step 5: Solve for x
    x = 28,223,128,173.32/259,502.32
  6. Step 6: Final answer
    x = 108,758.67

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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.