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Finding the Fourth Proportional to 213,146.20, 319,601.74 and 86,754

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Solution

The fourth proportional to 213,146.20, 319,601.74 and 86,754 is: 130,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146.20 : 319,601.74 = 86,754 : x
  2. Step 2: Convert to fraction form
    213,146.20/319,601.74 = 86,754/x
  3. Step 3: Cross multiply
    213,146.20x = 319,601.74 × 86,754
  4. Step 4: Simplify right side
    213,146.20x = 27,726,729,351.96
  5. Step 5: Solve for x
    x = 27,726,729,351.96/213,146.20
  6. Step 6: Final answer
    x = 130,083.15

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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.