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Finding the Fourth Proportional to 203,902.16, 305,684.85 and 89,968.86

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Solution

The fourth proportional to 203,902.16, 305,684.85 and 89,968.86 is: 134,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,902.16 : 305,684.85 = 89,968.86 : x
  2. Step 2: Convert to fraction form
    203,902.16/305,684.85 = 89,968.86/x
  3. Step 3: Cross multiply
    203,902.16x = 305,684.85 × 89,968.86
  4. Step 4: Simplify right side
    203,902.16x = 27,502,117,473.77
  5. Step 5: Solve for x
    x = 27,502,117,473.77/203,902.16
  6. Step 6: Final answer
    x = 134,878.99

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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.