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Finding the Fourth Proportional to 82,968, 124,464.48 and 26,789.28

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Solution

The fourth proportional to 82,968, 124,464.48 and 26,789.28 is: 40,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,968 : 124,464.48 = 26,789.28 : x
  2. Step 2: Convert to fraction form
    82,968/124,464.48 = 26,789.28/x
  3. Step 3: Cross multiply
    82,968x = 124,464.48 × 26,789.28
  4. Step 4: Simplify right side
    82,968x = 3,334,313,804.77
  5. Step 5: Solve for x
    x = 3,334,313,804.77/82,968
  6. Step 6: Final answer
    x = 40,187.95

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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.