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Finding the Fourth Proportional to 160,820.88, 222,009 and 107,195.28

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Solution

The fourth proportional to 160,820.88, 222,009 and 107,195.28 is: 147,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,820.88 : 222,009 = 107,195.28 : x
  2. Step 2: Convert to fraction form
    160,820.88/222,009 = 107,195.28/x
  3. Step 3: Cross multiply
    160,820.88x = 222,009 × 107,195.28
  4. Step 4: Simplify right side
    160,820.88x = 23,798,316,917.52
  5. Step 5: Solve for x
    x = 23,798,316,917.52/160,820.88
  6. Step 6: Final answer
    x = 147,980.27

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