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Finding the Fourth Proportional to 117,112.76, 161,708.78 and 108,157

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Solution

The fourth proportional to 117,112.76, 161,708.78 and 108,157 is: 149,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,112.76 : 161,708.78 = 108,157 : x
  2. Step 2: Convert to fraction form
    117,112.76/161,708.78 = 108,157/x
  3. Step 3: Cross multiply
    117,112.76x = 161,708.78 × 108,157
  4. Step 4: Simplify right side
    117,112.76x = 17,489,936,518.46
  5. Step 5: Solve for x
    x = 17,489,936,518.46/117,112.76
  6. Step 6: Final answer
    x = 149,342.71

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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.