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Finding the Fourth Proportional to 320,055.93, 479,978.35 and 106,765.06

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Solution

The fourth proportional to 320,055.93, 479,978.35 and 106,765.06 is: 160,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,055.93 : 479,978.35 = 106,765.06 : x
  2. Step 2: Convert to fraction form
    320,055.93/479,978.35 = 106,765.06/x
  3. Step 3: Cross multiply
    320,055.93x = 479,978.35 × 106,765.06
  4. Step 4: Simplify right side
    320,055.93x = 51,244,917,336.45
  5. Step 5: Solve for x
    x = 51,244,917,336.45/320,055.93
  6. Step 6: Final answer
    x = 160,112.38

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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.