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Finding the Fourth Proportional to 217,902.64, 300,713.40 and 122,407.24

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Solution

The fourth proportional to 217,902.64, 300,713.40 and 122,407.24 is: 168,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,902.64 : 300,713.40 = 122,407.24 : x
  2. Step 2: Convert to fraction form
    217,902.64/300,713.40 = 122,407.24/x
  3. Step 3: Cross multiply
    217,902.64x = 300,713.40 × 122,407.24
  4. Step 4: Simplify right side
    217,902.64x = 36,809,497,325.02
  5. Step 5: Solve for x
    x = 36,809,497,325.02/217,902.64
  6. Step 6: Final answer
    x = 168,926.35

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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.