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Finding the Fourth Proportional to 203,931.70, 305,897.55 and 70,825.41

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Solution

The fourth proportional to 203,931.70, 305,897.55 and 70,825.41 is: 106,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,931.70 : 305,897.55 = 70,825.41 : x
  2. Step 2: Convert to fraction form
    203,931.70/305,897.55 = 70,825.41/x
  3. Step 3: Cross multiply
    203,931.70x = 305,897.55 × 70,825.41
  4. Step 4: Simplify right side
    203,931.70x = 21,665,319,396.75
  5. Step 5: Solve for x
    x = 21,665,319,396.75/203,931.70
  6. Step 6: Final answer
    x = 106,238.12

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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.