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Finding the Fourth Proportional to 203,776.40, 305,708.28 and 61,609.52

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Solution

The fourth proportional to 203,776.40, 305,708.28 and 61,609.52 is: 92,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,776.40 : 305,708.28 = 61,609.52 : x
  2. Step 2: Convert to fraction form
    203,776.40/305,708.28 = 61,609.52/x
  3. Step 3: Cross multiply
    203,776.40x = 305,708.28 × 61,609.52
  4. Step 4: Simplify right side
    203,776.40x = 18,834,540,390.83
  5. Step 5: Solve for x
    x = 18,834,540,390.83/203,776.40
  6. Step 6: Final answer
    x = 92,427.49

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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.