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Finding the Fourth Proportional to 203,795.84, 305,595.41 and 85,435.40

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Solution

The fourth proportional to 203,795.84, 305,595.41 and 85,435.40 is: 128,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,795.84 : 305,595.41 = 85,435.40 : x
  2. Step 2: Convert to fraction form
    203,795.84/305,595.41 = 85,435.40/x
  3. Step 3: Cross multiply
    203,795.84x = 305,595.41 × 85,435.40
  4. Step 4: Simplify right side
    203,795.84x = 26,108,664,136.36
  5. Step 5: Solve for x
    x = 26,108,664,136.36/203,795.84
  6. Step 6: Final answer
    x = 128,111.86

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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.