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Finding the Fourth Proportional to 203,547.41, 305,321.90 and 85,135.68

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Solution

The fourth proportional to 203,547.41, 305,321.90 and 85,135.68 is: 127,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,547.41 : 305,321.90 = 85,135.68 : x
  2. Step 2: Convert to fraction form
    203,547.41/305,321.90 = 85,135.68/x
  3. Step 3: Cross multiply
    203,547.41x = 305,321.90 × 85,135.68
  4. Step 4: Simplify right side
    203,547.41x = 25,993,787,149.71
  5. Step 5: Solve for x
    x = 25,993,787,149.71/203,547.41
  6. Step 6: Final answer
    x = 127,703.85

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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.