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Finding the Fourth Proportional to 105,699.87, 145,912.34 and 73,993.23

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Solution

The fourth proportional to 105,699.87, 145,912.34 and 73,993.23 is: 102,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699.87 : 145,912.34 = 73,993.23 : x
  2. Step 2: Convert to fraction form
    105,699.87/145,912.34 = 73,993.23/x
  3. Step 3: Cross multiply
    105,699.87x = 145,912.34 × 73,993.23
  4. Step 4: Simplify right side
    105,699.87x = 10,796,524,963.49
  5. Step 5: Solve for x
    x = 10,796,524,963.49/105,699.87
  6. Step 6: Final answer
    x = 102,143.22

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1.5x scale

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.