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Finding the Fourth Proportional to 82,202.81, 123,309.77 and 28,888.30

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Solution

The fourth proportional to 82,202.81, 123,309.77 and 28,888.30 is: 43,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,202.81 : 123,309.77 = 28,888.30 : x
  2. Step 2: Convert to fraction form
    82,202.81/123,309.77 = 28,888.30/x
  3. Step 3: Cross multiply
    82,202.81x = 123,309.77 × 28,888.30
  4. Step 4: Simplify right side
    82,202.81x = 3,562,209,855.05
  5. Step 5: Solve for x
    x = 3,562,209,855.05/82,202.81
  6. Step 6: Final answer
    x = 43,334.41

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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.