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Finding the Fourth Proportional to 203,616.84, 305,113.52 and 85,223.72

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Solution

The fourth proportional to 203,616.84, 305,113.52 and 85,223.72 is: 127,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616.84 : 305,113.52 = 85,223.72 : x
  2. Step 2: Convert to fraction form
    203,616.84/305,113.52 = 85,223.72/x
  3. Step 3: Cross multiply
    203,616.84x = 305,113.52 × 85,223.72
  4. Step 4: Simplify right side
    203,616.84x = 26,002,909,196.69
  5. Step 5: Solve for x
    x = 26,002,909,196.69/203,616.84
  6. Step 6: Final answer
    x = 127,705.10

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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.