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Finding the Fourth Proportional to 101,309.40, 151,745.40 and 83,813.40

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Solution

The fourth proportional to 101,309.40, 151,745.40 and 83,813.40 is: 125,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,309.40 : 151,745.40 = 83,813.40 : x
  2. Step 2: Convert to fraction form
    101,309.40/151,745.40 = 83,813.40/x
  3. Step 3: Cross multiply
    101,309.40x = 151,745.40 × 83,813.40
  4. Step 4: Simplify right side
    101,309.40x = 12,718,297,908.36
  5. Step 5: Solve for x
    x = 12,718,297,908.36/101,309.40
  6. Step 6: Final answer
    x = 125,539.17

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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.