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Finding the Fourth Proportional to 203,909.10, 305,863.65 and 151,421.10

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Solution

The fourth proportional to 203,909.10, 305,863.65 and 151,421.10 is: 227,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909.10 : 305,863.65 = 151,421.10 : x
  2. Step 2: Convert to fraction form
    203,909.10/305,863.65 = 151,421.10/x
  3. Step 3: Cross multiply
    203,909.10x = 305,863.65 × 151,421.10
  4. Step 4: Simplify right side
    203,909.10x = 46,314,210,333.02
  5. Step 5: Solve for x
    x = 46,314,210,333.02/203,909.10
  6. Step 6: Final answer
    x = 227,131.65

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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.