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Finding the Fourth Proportional to 155,703.94, 214,871.44 and 84,083.96

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Solution

The fourth proportional to 155,703.94, 214,871.44 and 84,083.96 is: 116,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,703.94 : 214,871.44 = 84,083.96 : x
  2. Step 2: Convert to fraction form
    155,703.94/214,871.44 = 84,083.96/x
  3. Step 3: Cross multiply
    155,703.94x = 214,871.44 × 84,083.96
  4. Step 4: Simplify right side
    155,703.94x = 18,067,242,050.73
  5. Step 5: Solve for x
    x = 18,067,242,050.73/155,703.94
  6. Step 6: Final answer
    x = 116,035.87

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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.