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Finding the Fourth Proportional to 202,282.60, 303,596.70 and 90,135.40

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Solution

The fourth proportional to 202,282.60, 303,596.70 and 90,135.40 is: 135,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,282.60 : 303,596.70 = 90,135.40 : x
  2. Step 2: Convert to fraction form
    202,282.60/303,596.70 = 90,135.40/x
  3. Step 3: Cross multiply
    202,282.60x = 303,596.70 × 90,135.40
  4. Step 4: Simplify right side
    202,282.60x = 27,364,809,993.18
  5. Step 5: Solve for x
    x = 27,364,809,993.18/202,282.60
  6. Step 6: Final answer
    x = 135,280.10

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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.