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Finding the Fourth Proportional to 106,376.13, 146,797.16 and 57,978.54

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Solution

The fourth proportional to 106,376.13, 146,797.16 and 57,978.54 is: 80,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,376.13 : 146,797.16 = 57,978.54 : x
  2. Step 2: Convert to fraction form
    106,376.13/146,797.16 = 57,978.54/x
  3. Step 3: Cross multiply
    106,376.13x = 146,797.16 × 57,978.54
  4. Step 4: Simplify right side
    106,376.13x = 8,511,084,723.05
  5. Step 5: Solve for x
    x = 8,511,084,723.05/106,376.13
  6. Step 6: Final answer
    x = 80,009.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.