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Finding the Fourth Proportional to 82,031.50, 123,059.13 and 25,852.60

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Solution

The fourth proportional to 82,031.50, 123,059.13 and 25,852.60 is: 38,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,031.50 : 123,059.13 = 25,852.60 : x
  2. Step 2: Convert to fraction form
    82,031.50/123,059.13 = 25,852.60/x
  3. Step 3: Cross multiply
    82,031.50x = 123,059.13 × 25,852.60
  4. Step 4: Simplify right side
    82,031.50x = 3,181,398,464.24
  5. Step 5: Solve for x
    x = 3,181,398,464.24/82,031.50
  6. Step 6: Final answer
    x = 38,782.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.