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Finding the Fourth Proportional to 81,145.68, 111,977.04 and 45,328.56

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Solution

The fourth proportional to 81,145.68, 111,977.04 and 45,328.56 is: 62,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,145.68 : 111,977.04 = 45,328.56 : x
  2. Step 2: Convert to fraction form
    81,145.68/111,977.04 = 45,328.56/x
  3. Step 3: Cross multiply
    81,145.68x = 111,977.04 × 45,328.56
  4. Step 4: Simplify right side
    81,145.68x = 5,075,757,976.26
  5. Step 5: Solve for x
    x = 5,075,757,976.26/81,145.68
  6. Step 6: Final answer
    x = 62,551.18

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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.