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Finding the Fourth Proportional to 218,796, 301,938.48 and 118,194

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Solution

The fourth proportional to 218,796, 301,938.48 and 118,194 is: 163,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,796 : 301,938.48 = 118,194 : x
  2. Step 2: Convert to fraction form
    218,796/301,938.48 = 118,194/x
  3. Step 3: Cross multiply
    218,796x = 301,938.48 × 118,194
  4. Step 4: Simplify right side
    218,796x = 35,687,316,705.12
  5. Step 5: Solve for x
    x = 35,687,316,705.12/218,796
  6. Step 6: Final answer
    x = 163,107.72

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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.