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Finding the Fourth Proportional to 135,987.46, 187,662.09 and 75,567.94

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Solution

The fourth proportional to 135,987.46, 187,662.09 and 75,567.94 is: 104,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,987.46 : 187,662.09 = 75,567.94 : x
  2. Step 2: Convert to fraction form
    135,987.46/187,662.09 = 75,567.94/x
  3. Step 3: Cross multiply
    135,987.46x = 187,662.09 × 75,567.94
  4. Step 4: Simplify right side
    135,987.46x = 14,181,237,557.39
  5. Step 5: Solve for x
    x = 14,181,237,557.39/135,987.46
  6. Step 6: Final answer
    x = 104,283.42

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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.