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Finding the Fourth Proportional to 135,494.90, 186,963.90 and 75,069.12

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Solution

The fourth proportional to 135,494.90, 186,963.90 and 75,069.12 is: 103,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,494.90 : 186,963.90 = 75,069.12 : x
  2. Step 2: Convert to fraction form
    135,494.90/186,963.90 = 75,069.12/x
  3. Step 3: Cross multiply
    135,494.90x = 186,963.90 × 75,069.12
  4. Step 4: Simplify right side
    135,494.90x = 14,035,214,549.78
  5. Step 5: Solve for x
    x = 14,035,214,549.78/135,494.90
  6. Step 6: Final answer
    x = 103,584.82

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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.