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Finding the Fourth Proportional to 218,268, 301,164.48 and 127,606.19

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Solution

The fourth proportional to 218,268, 301,164.48 and 127,606.19 is: 176,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,268 : 301,164.48 = 127,606.19 : x
  2. Step 2: Convert to fraction form
    218,268/301,164.48 = 127,606.19/x
  3. Step 3: Cross multiply
    218,268x = 301,164.48 × 127,606.19
  4. Step 4: Simplify right side
    218,268x = 38,430,450,350.31
  5. Step 5: Solve for x
    x = 38,430,450,350.31/218,268
  6. Step 6: Final answer
    x = 176,070.02

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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.