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Finding the Fourth Proportional to 268,001.16, 401,940.34 and 159,961

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Solution

The fourth proportional to 268,001.16, 401,940.34 and 159,961 is: 239,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,001.16 : 401,940.34 = 159,961 : x
  2. Step 2: Convert to fraction form
    268,001.16/401,940.34 = 159,961/x
  3. Step 3: Cross multiply
    268,001.16x = 401,940.34 × 159,961
  4. Step 4: Simplify right side
    268,001.16x = 64,294,778,726.74
  5. Step 5: Solve for x
    x = 64,294,778,726.74/268,001.16
  6. Step 6: Final answer
    x = 239,904.85

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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.