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Finding the Fourth Proportional to 73,609.80, 101,581.54 and 40,075.80

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Solution

The fourth proportional to 73,609.80, 101,581.54 and 40,075.80 is: 55,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,609.80 : 101,581.54 = 40,075.80 : x
  2. Step 2: Convert to fraction form
    73,609.80/101,581.54 = 40,075.80/x
  3. Step 3: Cross multiply
    73,609.80x = 101,581.54 × 40,075.80
  4. Step 4: Simplify right side
    73,609.80x = 4,070,961,380.54
  5. Step 5: Solve for x
    x = 4,070,961,380.54/73,609.80
  6. Step 6: Final answer
    x = 55,304.61

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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.