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Finding the Fourth Proportional to 203,386.56, 305,081.61 and 53,648.11

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Solution

The fourth proportional to 203,386.56, 305,081.61 and 53,648.11 is: 80,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,386.56 : 305,081.61 = 53,648.11 : x
  2. Step 2: Convert to fraction form
    203,386.56/305,081.61 = 53,648.11/x
  3. Step 3: Cross multiply
    203,386.56x = 305,081.61 × 53,648.11
  4. Step 4: Simplify right side
    203,386.56x = 16,367,051,772.26
  5. Step 5: Solve for x
    x = 16,367,051,772.26/203,386.56
  6. Step 6: Final answer
    x = 80,472.63

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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.