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Finding the Fourth Proportional to 117,188, 161,714.72 and 68,783.28

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Solution

The fourth proportional to 117,188, 161,714.72 and 68,783.28 is: 94,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,188 : 161,714.72 = 68,783.28 : x
  2. Step 2: Convert to fraction form
    117,188/161,714.72 = 68,783.28/x
  3. Step 3: Cross multiply
    117,188x = 161,714.72 × 68,783.28
  4. Step 4: Simplify right side
    117,188x = 11,123,268,865.88
  5. Step 5: Solve for x
    x = 11,123,268,865.88/117,188
  6. Step 6: Final answer
    x = 94,918.16

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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.