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Finding the Fourth Proportional to 218,619.68, 301,696.16 and 123,128

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Solution

The fourth proportional to 218,619.68, 301,696.16 and 123,128 is: 169,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,619.68 : 301,696.16 = 123,128 : x
  2. Step 2: Convert to fraction form
    218,619.68/301,696.16 = 123,128/x
  3. Step 3: Cross multiply
    218,619.68x = 301,696.16 × 123,128
  4. Step 4: Simplify right side
    218,619.68x = 37,147,244,788.48
  5. Step 5: Solve for x
    x = 37,147,244,788.48/218,619.68
  6. Step 6: Final answer
    x = 169,917.20

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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.