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Finding the Fourth Proportional to 201,458.20, 301,822.80 and 159,613.60

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Solution

The fourth proportional to 201,458.20, 301,822.80 and 159,613.60 is: 239,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,458.20 : 301,822.80 = 159,613.60 : x
  2. Step 2: Convert to fraction form
    201,458.20/301,822.80 = 159,613.60/x
  3. Step 3: Cross multiply
    201,458.20x = 301,822.80 × 159,613.60
  4. Step 4: Simplify right side
    201,458.20x = 48,175,023,670.08
  5. Step 5: Solve for x
    x = 48,175,023,670.08/201,458.20
  6. Step 6: Final answer
    x = 239,131.61

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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.