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Finding the Fourth Proportional to 218,835.30, 301,992.42 and 118,233.30

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Solution

The fourth proportional to 218,835.30, 301,992.42 and 118,233.30 is: 163,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,835.30 : 301,992.42 = 118,233.30 : x
  2. Step 2: Convert to fraction form
    218,835.30/301,992.42 = 118,233.30/x
  3. Step 3: Cross multiply
    218,835.30x = 301,992.42 × 118,233.30
  4. Step 4: Simplify right side
    218,835.30x = 35,705,560,391.59
  5. Step 5: Solve for x
    x = 35,705,560,391.59/218,835.30
  6. Step 6: Final answer
    x = 163,161.80

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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.