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Finding the Fourth Proportional to 201,812.70, 302,135.85 and 123,080.70

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Solution

The fourth proportional to 201,812.70, 302,135.85 and 123,080.70 is: 184,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,812.70 : 302,135.85 = 123,080.70 : x
  2. Step 2: Convert to fraction form
    201,812.70/302,135.85 = 123,080.70/x
  3. Step 3: Cross multiply
    201,812.70x = 302,135.85 × 123,080.70
  4. Step 4: Simplify right side
    201,812.70x = 37,187,091,913.10
  5. Step 5: Solve for x
    x = 37,187,091,913.10/201,812.70
  6. Step 6: Final answer
    x = 184,265.37

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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.