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Finding the Fourth Proportional to 135,647.65, 187,194.81 and 75,214.77

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Solution

The fourth proportional to 135,647.65, 187,194.81 and 75,214.77 is: 103,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,647.65 : 187,194.81 = 75,214.77 : x
  2. Step 2: Convert to fraction form
    135,647.65/187,194.81 = 75,214.77/x
  3. Step 3: Cross multiply
    135,647.65x = 187,194.81 × 75,214.77
  4. Step 4: Simplify right side
    135,647.65x = 14,079,814,579.34
  5. Step 5: Solve for x
    x = 14,079,814,579.34/135,647.65
  6. Step 6: Final answer
    x = 103,796.97

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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.