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Finding the Fourth Proportional to 135,641.89, 187,184.89 and 75,212.52

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Solution

The fourth proportional to 135,641.89, 187,184.89 and 75,212.52 is: 103,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.89 : 187,184.89 = 75,212.52 : x
  2. Step 2: Convert to fraction form
    135,641.89/187,184.89 = 75,212.52/x
  3. Step 3: Cross multiply
    135,641.89x = 187,184.89 × 75,212.52
  4. Step 4: Simplify right side
    135,641.89x = 14,078,647,282.82
  5. Step 5: Solve for x
    x = 14,078,647,282.82/135,641.89
  6. Step 6: Final answer
    x = 103,792.77

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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.