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Finding the Fourth Proportional to 218,712.78, 301,823.58 and 118,110.78

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Solution

The fourth proportional to 218,712.78, 301,823.58 and 118,110.78 is: 162,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712.78 : 301,823.58 = 118,110.78 : x
  2. Step 2: Convert to fraction form
    218,712.78/301,823.58 = 118,110.78/x
  3. Step 3: Cross multiply
    218,712.78x = 301,823.58 × 118,110.78
  4. Step 4: Simplify right side
    218,712.78x = 35,648,618,456.19
  5. Step 5: Solve for x
    x = 35,648,618,456.19/218,712.78
  6. Step 6: Final answer
    x = 162,992.85

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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.