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Finding the Fourth Proportional to 78,015.44, 107,661.16 and 42,205.48

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Solution

The fourth proportional to 78,015.44, 107,661.16 and 42,205.48 is: 58,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.44 : 107,661.16 = 42,205.48 : x
  2. Step 2: Convert to fraction form
    78,015.44/107,661.16 = 42,205.48/x
  3. Step 3: Cross multiply
    78,015.44x = 107,661.16 × 42,205.48
  4. Step 4: Simplify right side
    78,015.44x = 4,543,890,935.16
  5. Step 5: Solve for x
    x = 4,543,890,935.16/78,015.44
  6. Step 6: Final answer
    x = 58,243.48

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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.