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Finding the Fourth Proportional to 135,143.12, 202,683.88 and 50,912

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Solution

The fourth proportional to 135,143.12, 202,683.88 and 50,912 is: 76,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,143.12 : 202,683.88 = 50,912 : x
  2. Step 2: Convert to fraction form
    135,143.12/202,683.88 = 50,912/x
  3. Step 3: Cross multiply
    135,143.12x = 202,683.88 × 50,912
  4. Step 4: Simplify right side
    135,143.12x = 10,319,041,698.56
  5. Step 5: Solve for x
    x = 10,319,041,698.56/135,143.12
  6. Step 6: Final answer
    x = 76,356.40

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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.