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Finding the Fourth Proportional to 117,212.78, 161,968.20 and 85,326.32

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Solution

The fourth proportional to 117,212.78, 161,968.20 and 85,326.32 is: 117,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,212.78 : 161,968.20 = 85,326.32 : x
  2. Step 2: Convert to fraction form
    117,212.78/161,968.20 = 85,326.32/x
  3. Step 3: Cross multiply
    117,212.78x = 161,968.20 × 85,326.32
  4. Step 4: Simplify right side
    117,212.78x = 13,820,150,463.02
  5. Step 5: Solve for x
    x = 13,820,150,463.02/117,212.78
  6. Step 6: Final answer
    x = 117,906.52

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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.