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Finding the Fourth Proportional to 78,204.44, 107,922.48 and 42,394.40

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Solution

The fourth proportional to 78,204.44, 107,922.48 and 42,394.40 is: 58,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,204.44 : 107,922.48 = 42,394.40 : x
  2. Step 2: Convert to fraction form
    78,204.44/107,922.48 = 42,394.40/x
  3. Step 3: Cross multiply
    78,204.44x = 107,922.48 × 42,394.40
  4. Step 4: Simplify right side
    78,204.44x = 4,575,308,786.11
  5. Step 5: Solve for x
    x = 4,575,308,786.11/78,204.44
  6. Step 6: Final answer
    x = 58,504.46

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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.