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Finding the Fourth Proportional to 248,647.80, 372,932.10 and 82,435.80

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Solution

The fourth proportional to 248,647.80, 372,932.10 and 82,435.80 is: 123,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,647.80 : 372,932.10 = 82,435.80 : x
  2. Step 2: Convert to fraction form
    248,647.80/372,932.10 = 82,435.80/x
  3. Step 3: Cross multiply
    248,647.80x = 372,932.10 × 82,435.80
  4. Step 4: Simplify right side
    248,647.80x = 30,742,956,009.18
  5. Step 5: Solve for x
    x = 30,742,956,009.18/248,647.80
  6. Step 6: Final answer
    x = 123,640.57

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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.