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Finding the Fourth Proportional to 164,400.14, 226,859.13 and 100,729.22

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Solution

The fourth proportional to 164,400.14, 226,859.13 and 100,729.22 is: 138,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,400.14 : 226,859.13 = 100,729.22 : x
  2. Step 2: Convert to fraction form
    164,400.14/226,859.13 = 100,729.22/x
  3. Step 3: Cross multiply
    164,400.14x = 226,859.13 × 100,729.22
  4. Step 4: Simplify right side
    164,400.14x = 22,851,343,214.78
  5. Step 5: Solve for x
    x = 22,851,343,214.78/164,400.14
  6. Step 6: Final answer
    x = 138,998.32

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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.