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Finding the Fourth Proportional to 238,660.06, 357,896.34 and 86,821.06

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Solution

The fourth proportional to 238,660.06, 357,896.34 and 86,821.06 is: 130,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,660.06 : 357,896.34 = 86,821.06 : x
  2. Step 2: Convert to fraction form
    238,660.06/357,896.34 = 86,821.06/x
  3. Step 3: Cross multiply
    238,660.06x = 357,896.34 × 86,821.06
  4. Step 4: Simplify right side
    238,660.06x = 31,072,939,608.92
  5. Step 5: Solve for x
    x = 31,072,939,608.92/238,660.06
  6. Step 6: Final answer
    x = 130,197.49

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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.