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Finding the Fourth Proportional to 201,384.70, 301,817.85 and 122,415.10

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Solution

The fourth proportional to 201,384.70, 301,817.85 and 122,415.10 is: 183,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,384.70 : 301,817.85 = 122,415.10 : x
  2. Step 2: Convert to fraction form
    201,384.70/301,817.85 = 122,415.10/x
  3. Step 3: Cross multiply
    201,384.70x = 301,817.85 × 122,415.10
  4. Step 4: Simplify right side
    201,384.70x = 36,947,062,289.54
  5. Step 5: Solve for x
    x = 36,947,062,289.54/201,384.70
  6. Step 6: Final answer
    x = 183,465.09

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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.