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Finding the Fourth Proportional to 265,968.02, 399,164.62 and 137,920.69

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Solution

The fourth proportional to 265,968.02, 399,164.62 and 137,920.69 is: 206,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,968.02 : 399,164.62 = 137,920.69 : x
  2. Step 2: Convert to fraction form
    265,968.02/399,164.62 = 137,920.69/x
  3. Step 3: Cross multiply
    265,968.02x = 399,164.62 × 137,920.69
  4. Step 4: Simplify right side
    265,968.02x = 55,053,059,813.99
  5. Step 5: Solve for x
    x = 55,053,059,813.99/265,968.02
  6. Step 6: Final answer
    x = 206,991.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.