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Finding the Fourth Proportional to 202,424.40, 303,639.84 and 90,078.48

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Solution

The fourth proportional to 202,424.40, 303,639.84 and 90,078.48 is: 135,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,424.40 : 303,639.84 = 90,078.48 : x
  2. Step 2: Convert to fraction form
    202,424.40/303,639.84 = 90,078.48/x
  3. Step 3: Cross multiply
    202,424.40x = 303,639.84 × 90,078.48
  4. Step 4: Simplify right side
    202,424.40x = 27,351,415,254.64
  5. Step 5: Solve for x
    x = 27,351,415,254.64/202,424.40
  6. Step 6: Final answer
    x = 135,119.16

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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.