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Finding the Fourth Proportional to 78,679.49, 118,068.44 and 31,932.36

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Solution

The fourth proportional to 78,679.49, 118,068.44 and 31,932.36 is: 47,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,679.49 : 118,068.44 = 31,932.36 : x
  2. Step 2: Convert to fraction form
    78,679.49/118,068.44 = 31,932.36/x
  3. Step 3: Cross multiply
    78,679.49x = 118,068.44 × 31,932.36
  4. Step 4: Simplify right side
    78,679.49x = 3,770,204,225.89
  5. Step 5: Solve for x
    x = 3,770,204,225.89/78,679.49
  6. Step 6: Final answer
    x = 47,918.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.