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Finding the Fourth Proportional to 180,406.29, 248,954.56 and 99,837.21

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Solution

The fourth proportional to 180,406.29, 248,954.56 and 99,837.21 is: 137,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,406.29 : 248,954.56 = 99,837.21 : x
  2. Step 2: Convert to fraction form
    180,406.29/248,954.56 = 99,837.21/x
  3. Step 3: Cross multiply
    180,406.29x = 248,954.56 × 99,837.21
  4. Step 4: Simplify right side
    180,406.29x = 24,854,928,187.99
  5. Step 5: Solve for x
    x = 24,854,928,187.99/180,406.29
  6. Step 6: Final answer
    x = 137,771.96

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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.