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Finding the Fourth Proportional to 164,022.36, 226,367.58 and 100,402.20

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Solution

The fourth proportional to 164,022.36, 226,367.58 and 100,402.20 is: 138,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,022.36 : 226,367.58 = 100,402.20 : x
  2. Step 2: Convert to fraction form
    164,022.36/226,367.58 = 100,402.20/x
  3. Step 3: Cross multiply
    164,022.36x = 226,367.58 × 100,402.20
  4. Step 4: Simplify right side
    164,022.36x = 22,727,803,040.68
  5. Step 5: Solve for x
    x = 22,727,803,040.68/164,022.36
  6. Step 6: Final answer
    x = 138,565.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.