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Finding the Fourth Proportional to 138,361.14, 189,692.96 and 135,838.88

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Solution

The fourth proportional to 138,361.14, 189,692.96 and 135,838.88 is: 186,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,361.14 : 189,692.96 = 135,838.88 : x
  2. Step 2: Convert to fraction form
    138,361.14/189,692.96 = 135,838.88/x
  3. Step 3: Cross multiply
    138,361.14x = 189,692.96 × 135,838.88
  4. Step 4: Simplify right side
    138,361.14x = 25,767,677,602.63
  5. Step 5: Solve for x
    x = 25,767,677,602.63/138,361.14
  6. Step 6: Final answer
    x = 186,234.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.