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Finding the Fourth Proportional to 217,784.84, 300,544.93 and 122,300.42

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Solution

The fourth proportional to 217,784.84, 300,544.93 and 122,300.42 is: 168,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,784.84 : 300,544.93 = 122,300.42 : x
  2. Step 2: Convert to fraction form
    217,784.84/300,544.93 = 122,300.42/x
  3. Step 3: Cross multiply
    217,784.84x = 300,544.93 × 122,300.42
  4. Step 4: Simplify right side
    217,784.84x = 36,756,769,818.02
  5. Step 5: Solve for x
    x = 36,756,769,818.02/217,784.84
  6. Step 6: Final answer
    x = 168,775.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.