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Finding the Fourth Proportional to 135,032.50, 186,344.85 and 75,416.50

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Solution

The fourth proportional to 135,032.50, 186,344.85 and 75,416.50 is: 104,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,032.50 : 186,344.85 = 75,416.50 : x
  2. Step 2: Convert to fraction form
    135,032.50/186,344.85 = 75,416.50/x
  3. Step 3: Cross multiply
    135,032.50x = 186,344.85 × 75,416.50
  4. Step 4: Simplify right side
    135,032.50x = 14,053,476,380.03
  5. Step 5: Solve for x
    x = 14,053,476,380.03/135,032.50
  6. Step 6: Final answer
    x = 104,074.77

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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.