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Finding the Fourth Proportional to 73,075.80, 100,815.92 and 42,443.68

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Solution

The fourth proportional to 73,075.80, 100,815.92 and 42,443.68 is: 58,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,075.80 : 100,815.92 = 42,443.68 : x
  2. Step 2: Convert to fraction form
    73,075.80/100,815.92 = 42,443.68/x
  3. Step 3: Cross multiply
    73,075.80x = 100,815.92 × 42,443.68
  4. Step 4: Simplify right side
    73,075.80x = 4,278,998,647.39
  5. Step 5: Solve for x
    x = 4,278,998,647.39/73,075.80
  6. Step 6: Final answer
    x = 58,555.62

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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.