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Finding the Fourth Proportional to 82,893.69, 124,340.40 and 20,564.19

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Solution

The fourth proportional to 82,893.69, 124,340.40 and 20,564.19 is: 30,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.69 : 124,340.40 = 20,564.19 : x
  2. Step 2: Convert to fraction form
    82,893.69/124,340.40 = 20,564.19/x
  3. Step 3: Cross multiply
    82,893.69x = 124,340.40 × 20,564.19
  4. Step 4: Simplify right side
    82,893.69x = 2,556,959,610.28
  5. Step 5: Solve for x
    x = 2,556,959,610.28/82,893.69
  6. Step 6: Final answer
    x = 30,846.25

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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.