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Finding the Fourth Proportional to 268,802.31, 370,823.09 and 161,185.71

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Solution

The fourth proportional to 268,802.31, 370,823.09 and 161,185.71 is: 222,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,802.31 : 370,823.09 = 161,185.71 : x
  2. Step 2: Convert to fraction form
    268,802.31/370,823.09 = 161,185.71/x
  3. Step 3: Cross multiply
    268,802.31x = 370,823.09 × 161,185.71
  4. Step 4: Simplify right side
    268,802.31x = 59,771,382,240.12
  5. Step 5: Solve for x
    x = 59,771,382,240.12/268,802.31
  6. Step 6: Final answer
    x = 222,361.86

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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.