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Finding the Fourth Proportional to 135,459, 203,188.50 and 36,963

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Solution

The fourth proportional to 135,459, 203,188.50 and 36,963 is: 55,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,459 : 203,188.50 = 36,963 : x
  2. Step 2: Convert to fraction form
    135,459/203,188.50 = 36,963/x
  3. Step 3: Cross multiply
    135,459x = 203,188.50 × 36,963
  4. Step 4: Simplify right side
    135,459x = 7,510,456,525.50
  5. Step 5: Solve for x
    x = 7,510,456,525.50/135,459
  6. Step 6: Final answer
    x = 55,444.50

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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.