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Finding the Fourth Proportional to 223,381.36, 308,268.65 and 121,406.81

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Solution

The fourth proportional to 223,381.36, 308,268.65 and 121,406.81 is: 167,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,381.36 : 308,268.65 = 121,406.81 : x
  2. Step 2: Convert to fraction form
    223,381.36/308,268.65 = 121,406.81/x
  3. Step 3: Cross multiply
    223,381.36x = 308,268.65 × 121,406.81
  4. Step 4: Simplify right side
    223,381.36x = 37,425,913,583.14
  5. Step 5: Solve for x
    x = 37,425,913,583.14/223,381.36
  6. Step 6: Final answer
    x = 167,542.69

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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.