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Finding the Fourth Proportional to 113,907.78, 170,896.32 and 53,982.16

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Solution

The fourth proportional to 113,907.78, 170,896.32 and 53,982.16 is: 80,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,907.78 : 170,896.32 = 53,982.16 : x
  2. Step 2: Convert to fraction form
    113,907.78/170,896.32 = 53,982.16/x
  3. Step 3: Cross multiply
    113,907.78x = 170,896.32 × 53,982.16
  4. Step 4: Simplify right side
    113,907.78x = 9,225,352,489.65
  5. Step 5: Solve for x
    x = 9,225,352,489.65/113,907.78
  6. Step 6: Final answer
    x = 80,989.66

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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.