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Finding the Fourth Proportional to 135,761.80, 187,352.56 and 75,338.05

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Solution

The fourth proportional to 135,761.80, 187,352.56 and 75,338.05 is: 103,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,761.80 : 187,352.56 = 75,338.05 : x
  2. Step 2: Convert to fraction form
    135,761.80/187,352.56 = 75,338.05/x
  3. Step 3: Cross multiply
    135,761.80x = 187,352.56 × 75,338.05
  4. Step 4: Simplify right side
    135,761.80x = 14,114,776,721.25
  5. Step 5: Solve for x
    x = 14,114,776,721.25/135,761.80
  6. Step 6: Final answer
    x = 103,967.22

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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.