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Finding the Fourth Proportional to 135,756, 203,639.49 and 64,642.05

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Solution

The fourth proportional to 135,756, 203,639.49 and 64,642.05 is: 96,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,756 : 203,639.49 = 64,642.05 : x
  2. Step 2: Convert to fraction form
    135,756/203,639.49 = 64,642.05/x
  3. Step 3: Cross multiply
    135,756x = 203,639.49 × 64,642.05
  4. Step 4: Simplify right side
    135,756x = 13,163,674,094.55
  5. Step 5: Solve for x
    x = 13,163,674,094.55/135,756
  6. Step 6: Final answer
    x = 96,965.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.