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Finding the Fourth Proportional to 223,284.96, 308,057.04 and 138,371.04

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Solution

The fourth proportional to 223,284.96, 308,057.04 and 138,371.04 is: 190,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,284.96 : 308,057.04 = 138,371.04 : x
  2. Step 2: Convert to fraction form
    223,284.96/308,057.04 = 138,371.04/x
  3. Step 3: Cross multiply
    223,284.96x = 308,057.04 × 138,371.04
  4. Step 4: Simplify right side
    223,284.96x = 42,626,173,004.12
  5. Step 5: Solve for x
    x = 42,626,173,004.12/223,284.96
  6. Step 6: Final answer
    x = 190,904.81

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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.