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Finding the Fourth Proportional to 203,912.40, 305,798.88 and 77,522.16

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Solution

The fourth proportional to 203,912.40, 305,798.88 and 77,522.16 is: 116,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,912.40 : 305,798.88 = 77,522.16 : x
  2. Step 2: Convert to fraction form
    203,912.40/305,798.88 = 77,522.16/x
  3. Step 3: Cross multiply
    203,912.40x = 305,798.88 × 77,522.16
  4. Step 4: Simplify right side
    203,912.40x = 23,706,189,703.18
  5. Step 5: Solve for x
    x = 23,706,189,703.18/203,912.40
  6. Step 6: Final answer
    x = 116,256.73

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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.