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Finding the Fourth Proportional to 218,820.14, 301,679.33 and 164,139.87

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Solution

The fourth proportional to 218,820.14, 301,679.33 and 164,139.87 is: 226,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,820.14 : 301,679.33 = 164,139.87 : x
  2. Step 2: Convert to fraction form
    218,820.14/301,679.33 = 164,139.87/x
  3. Step 3: Cross multiply
    218,820.14x = 301,679.33 × 164,139.87
  4. Step 4: Simplify right side
    218,820.14x = 49,517,605,187.19
  5. Step 5: Solve for x
    x = 49,517,605,187.19/218,820.14
  6. Step 6: Final answer
    x = 226,293.64

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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.