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Finding the Fourth Proportional to 117,244.51, 161,853.22 and 78,548.97

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Solution

The fourth proportional to 117,244.51, 161,853.22 and 78,548.97 is: 108,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,244.51 : 161,853.22 = 78,548.97 : x
  2. Step 2: Convert to fraction form
    117,244.51/161,853.22 = 78,548.97/x
  3. Step 3: Cross multiply
    117,244.51x = 161,853.22 × 78,548.97
  4. Step 4: Simplify right side
    117,244.51x = 12,713,403,329.44
  5. Step 5: Solve for x
    x = 12,713,403,329.44/117,244.51
  6. Step 6: Final answer
    x = 108,434.96

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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.