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Finding the Fourth Proportional to 218,317.70, 301,277.97 and 122,824.50

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Solution

The fourth proportional to 218,317.70, 301,277.97 and 122,824.50 is: 169,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,317.70 : 301,277.97 = 122,824.50 : x
  2. Step 2: Convert to fraction form
    218,317.70/301,277.97 = 122,824.50/x
  3. Step 3: Cross multiply
    218,317.70x = 301,277.97 × 122,824.50
  4. Step 4: Simplify right side
    218,317.70x = 37,004,316,026.27
  5. Step 5: Solve for x
    x = 37,004,316,026.27/218,317.70
  6. Step 6: Final answer
    x = 169,497.56

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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.