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Finding the Fourth Proportional to 218,686, 301,785.38 and 123,223.46

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Solution

The fourth proportional to 218,686, 301,785.38 and 123,223.46 is: 170,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,686 : 301,785.38 = 123,223.46 : x
  2. Step 2: Convert to fraction form
    218,686/301,785.38 = 123,223.46/x
  3. Step 3: Cross multiply
    218,686x = 301,785.38 × 123,223.46
  4. Step 4: Simplify right side
    218,686x = 37,187,038,701.01
  5. Step 5: Solve for x
    x = 37,187,038,701.01/218,686
  6. Step 6: Final answer
    x = 170,047.64

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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.