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Finding the Fourth Proportional to 106,231.80, 159,347.70 and 73,054.20

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Solution

The fourth proportional to 106,231.80, 159,347.70 and 73,054.20 is: 109,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,231.80 : 159,347.70 = 73,054.20 : x
  2. Step 2: Convert to fraction form
    106,231.80/159,347.70 = 73,054.20/x
  3. Step 3: Cross multiply
    106,231.80x = 159,347.70 × 73,054.20
  4. Step 4: Simplify right side
    106,231.80x = 11,641,018,745.34
  5. Step 5: Solve for x
    x = 11,641,018,745.34/106,231.80
  6. Step 6: Final answer
    x = 109,581.30

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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.