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Finding the Fourth Proportional to 230,453, 318,025.22 and 129,854.60

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Solution

The fourth proportional to 230,453, 318,025.22 and 129,854.60 is: 179,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,453 : 318,025.22 = 129,854.60 : x
  2. Step 2: Convert to fraction form
    230,453/318,025.22 = 129,854.60/x
  3. Step 3: Cross multiply
    230,453x = 318,025.22 × 129,854.60
  4. Step 4: Simplify right side
    230,453x = 41,297,037,733.01
  5. Step 5: Solve for x
    x = 41,297,037,733.01/230,453
  6. Step 6: Final answer
    x = 179,199.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.