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Finding the Fourth Proportional to 135,889.56, 203,870.40 and 47,142.84

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Solution

The fourth proportional to 135,889.56, 203,870.40 and 47,142.84 is: 70,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,889.56 : 203,870.40 = 47,142.84 : x
  2. Step 2: Convert to fraction form
    135,889.56/203,870.40 = 47,142.84/x
  3. Step 3: Cross multiply
    135,889.56x = 203,870.40 × 47,142.84
  4. Step 4: Simplify right side
    135,889.56x = 9,611,029,647.94
  5. Step 5: Solve for x
    x = 9,611,029,647.94/135,889.56
  6. Step 6: Final answer
    x = 70,726.77

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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.