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Finding the Fourth Proportional to 218,294.73, 301,243.86 and 122,801.40

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Solution

The fourth proportional to 218,294.73, 301,243.86 and 122,801.40 is: 169,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,294.73 : 301,243.86 = 122,801.40 : x
  2. Step 2: Convert to fraction form
    218,294.73/301,243.86 = 122,801.40/x
  3. Step 3: Cross multiply
    218,294.73x = 301,243.86 × 122,801.40
  4. Step 4: Simplify right side
    218,294.73x = 36,993,167,749.40
  5. Step 5: Solve for x
    x = 36,993,167,749.40/218,294.73
  6. Step 6: Final answer
    x = 169,464.32

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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.