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Finding the Fourth Proportional to 135,704.98, 187,057.02 and 106,978.06

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Solution

The fourth proportional to 135,704.98, 187,057.02 and 106,978.06 is: 147,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,704.98 : 187,057.02 = 106,978.06 : x
  2. Step 2: Convert to fraction form
    135,704.98/187,057.02 = 106,978.06/x
  3. Step 3: Cross multiply
    135,704.98x = 187,057.02 × 106,978.06
  4. Step 4: Simplify right side
    135,704.98x = 20,010,997,108.98
  5. Step 5: Solve for x
    x = 20,010,997,108.98/135,704.98
  6. Step 6: Final answer
    x = 147,459.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.