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Finding the Fourth Proportional to 135,671.63, 187,214.31 and 75,241.16

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Solution

The fourth proportional to 135,671.63, 187,214.31 and 75,241.16 is: 103,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,671.63 : 187,214.31 = 75,241.16 : x
  2. Step 2: Convert to fraction form
    135,671.63/187,214.31 = 75,241.16/x
  3. Step 3: Cross multiply
    135,671.63x = 187,214.31 × 75,241.16
  4. Step 4: Simplify right side
    135,671.63x = 14,086,221,853.00
  5. Step 5: Solve for x
    x = 14,086,221,853.00/135,671.63
  6. Step 6: Final answer
    x = 103,825.85

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1.5x scale

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.