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Finding the Fourth Proportional to 218,722.14, 301,836.53 and 118,120.14

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Solution

The fourth proportional to 218,722.14, 301,836.53 and 118,120.14 is: 163,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,722.14 : 301,836.53 = 118,120.14 : x
  2. Step 2: Convert to fraction form
    218,722.14/301,836.53 = 118,120.14/x
  3. Step 3: Cross multiply
    218,722.14x = 301,836.53 × 118,120.14
  4. Step 4: Simplify right side
    218,722.14x = 35,652,972,590.11
  5. Step 5: Solve for x
    x = 35,652,972,590.11/218,722.14
  6. Step 6: Final answer
    x = 163,005.78

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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.