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Finding the Fourth Proportional to 180,323.10, 270,502.74 and 61,978.86

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Solution

The fourth proportional to 180,323.10, 270,502.74 and 61,978.86 is: 92,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,323.10 : 270,502.74 = 61,978.86 : x
  2. Step 2: Convert to fraction form
    180,323.10/270,502.74 = 61,978.86/x
  3. Step 3: Cross multiply
    180,323.10x = 270,502.74 × 61,978.86
  4. Step 4: Simplify right side
    180,323.10x = 16,765,451,452.08
  5. Step 5: Solve for x
    x = 16,765,451,452.08/180,323.10
  6. Step 6: Final answer
    x = 92,974.51

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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.