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Finding the Fourth Proportional to 82,379.82, 123,569.86 and 20,050.32

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Solution

The fourth proportional to 82,379.82, 123,569.86 and 20,050.32 is: 30,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,379.82 : 123,569.86 = 20,050.32 : x
  2. Step 2: Convert to fraction form
    82,379.82/123,569.86 = 20,050.32/x
  3. Step 3: Cross multiply
    82,379.82x = 123,569.86 × 20,050.32
  4. Step 4: Simplify right side
    82,379.82x = 2,477,615,235.36
  5. Step 5: Solve for x
    x = 2,477,615,235.36/82,379.82
  6. Step 6: Final answer
    x = 30,075.51

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1.5x scale

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.