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Finding the Fourth Proportional to 200,999.70, 301,499.55 and 122,138.10

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Solution

The fourth proportional to 200,999.70, 301,499.55 and 122,138.10 is: 183,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,999.70 : 301,499.55 = 122,138.10 : x
  2. Step 2: Convert to fraction form
    200,999.70/301,499.55 = 122,138.10/x
  3. Step 3: Cross multiply
    200,999.70x = 301,499.55 × 122,138.10
  4. Step 4: Simplify right side
    200,999.70x = 36,824,582,187.86
  5. Step 5: Solve for x
    x = 36,824,582,187.86/200,999.70
  6. Step 6: Final answer
    x = 183,207.15

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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.