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Finding the Fourth Proportional to 268,117.73, 401,564.08 and 127,974.77

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Solution

The fourth proportional to 268,117.73, 401,564.08 and 127,974.77 is: 191,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,117.73 : 401,564.08 = 127,974.77 : x
  2. Step 2: Convert to fraction form
    268,117.73/401,564.08 = 127,974.77/x
  3. Step 3: Cross multiply
    268,117.73x = 401,564.08 × 127,974.77
  4. Step 4: Simplify right side
    268,117.73x = 51,390,070,436.28
  5. Step 5: Solve for x
    x = 51,390,070,436.28/268,117.73
  6. Step 6: Final answer
    x = 191,669.80

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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.