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Finding the Fourth Proportional to 135,529, 187,030.02 and 75,913

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Solution

The fourth proportional to 135,529, 187,030.02 and 75,913 is: 104,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,529 : 187,030.02 = 75,913 : x
  2. Step 2: Convert to fraction form
    135,529/187,030.02 = 75,913/x
  3. Step 3: Cross multiply
    135,529x = 187,030.02 × 75,913
  4. Step 4: Simplify right side
    135,529x = 14,198,009,908.26
  5. Step 5: Solve for x
    x = 14,198,009,908.26/135,529
  6. Step 6: Final answer
    x = 104,759.94

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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.