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Finding the Fourth Proportional to 103,745.80, 143,235.42 and 84,671.15

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Solution

The fourth proportional to 103,745.80, 143,235.42 and 84,671.15 is: 116,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,745.80 : 143,235.42 = 84,671.15 : x
  2. Step 2: Convert to fraction form
    103,745.80/143,235.42 = 84,671.15/x
  3. Step 3: Cross multiply
    103,745.80x = 143,235.42 × 84,671.15
  4. Step 4: Simplify right side
    103,745.80x = 12,127,906,698.44
  5. Step 5: Solve for x
    x = 12,127,906,698.44/103,745.80
  6. Step 6: Final answer
    x = 116,900.22

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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.