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Finding the Fourth Proportional to 203,697.30, 305,562.28 and 77,398.04

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Solution

The fourth proportional to 203,697.30, 305,562.28 and 77,398.04 is: 116,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,697.30 : 305,562.28 = 77,398.04 : x
  2. Step 2: Convert to fraction form
    203,697.30/305,562.28 = 77,398.04/x
  3. Step 3: Cross multiply
    203,697.30x = 305,562.28 × 77,398.04
  4. Step 4: Simplify right side
    203,697.30x = 23,649,921,569.93
  5. Step 5: Solve for x
    x = 23,649,921,569.93/203,697.30
  6. Step 6: Final answer
    x = 116,103.26

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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.