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Finding the Fourth Proportional to 218,720, 301,833.60 and 118,118

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Solution

The fourth proportional to 218,720, 301,833.60 and 118,118 is: 163,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,720 : 301,833.60 = 118,118 : x
  2. Step 2: Convert to fraction form
    218,720/301,833.60 = 118,118/x
  3. Step 3: Cross multiply
    218,720x = 301,833.60 × 118,118
  4. Step 4: Simplify right side
    218,720x = 35,651,981,164.80
  5. Step 5: Solve for x
    x = 35,651,981,164.80/218,720
  6. Step 6: Final answer
    x = 163,002.84

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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.