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Finding the Fourth Proportional to 218,801, 301,945.65 and 118,199

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Solution

The fourth proportional to 218,801, 301,945.65 and 118,199 is: 163,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,801 : 301,945.65 = 118,199 : x
  2. Step 2: Convert to fraction form
    218,801/301,945.65 = 118,199/x
  3. Step 3: Cross multiply
    218,801x = 301,945.65 × 118,199
  4. Step 4: Simplify right side
    218,801x = 35,689,673,884.35
  5. Step 5: Solve for x
    x = 35,689,673,884.35/218,801
  6. Step 6: Final answer
    x = 163,114.77

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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.