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Finding the Fourth Proportional to 190,052.46, 285,072.81 and 90,284.46

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Solution

The fourth proportional to 190,052.46, 285,072.81 and 90,284.46 is: 135,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,052.46 : 285,072.81 = 90,284.46 : x
  2. Step 2: Convert to fraction form
    190,052.46/285,072.81 = 90,284.46/x
  3. Step 3: Cross multiply
    190,052.46x = 285,072.81 × 90,284.46
  4. Step 4: Simplify right side
    190,052.46x = 25,737,644,711.53
  5. Step 5: Solve for x
    x = 25,737,644,711.53/190,052.46
  6. Step 6: Final answer
    x = 135,423.90

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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.