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Finding the Fourth Proportional to 243,758.27, 365,337.94 and 136,917.64

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Solution

The fourth proportional to 243,758.27, 365,337.94 and 136,917.64 is: 205,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,758.27 : 365,337.94 = 136,917.64 : x
  2. Step 2: Convert to fraction form
    243,758.27/365,337.94 = 136,917.64/x
  3. Step 3: Cross multiply
    243,758.27x = 365,337.94 × 136,917.64
  4. Step 4: Simplify right side
    243,758.27x = 50,021,207,605.53
  5. Step 5: Solve for x
    x = 50,021,207,605.53/243,758.27
  6. Step 6: Final answer
    x = 205,208.25

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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.