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Finding the Fourth Proportional to 203,785.34, 305,692.04 and 85,337.42

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Solution

The fourth proportional to 203,785.34, 305,692.04 and 85,337.42 is: 128,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,785.34 : 305,692.04 = 85,337.42 : x
  2. Step 2: Convert to fraction form
    203,785.34/305,692.04 = 85,337.42/x
  3. Step 3: Cross multiply
    203,785.34x = 305,692.04 × 85,337.42
  4. Step 4: Simplify right side
    203,785.34x = 26,086,968,693.02
  5. Step 5: Solve for x
    x = 26,086,968,693.02/203,785.34
  6. Step 6: Final answer
    x = 128,012.00

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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.