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Finding the Fourth Proportional to 54,648, 81,980.24 and 19,579.32

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Solution

The fourth proportional to 54,648, 81,980.24 and 19,579.32 is: 29,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,648 : 81,980.24 = 19,579.32 : x
  2. Step 2: Convert to fraction form
    54,648/81,980.24 = 19,579.32/x
  3. Step 3: Cross multiply
    54,648x = 81,980.24 × 19,579.32
  4. Step 4: Simplify right side
    54,648x = 1,605,117,352.64
  5. Step 5: Solve for x
    x = 1,605,117,352.64/54,648
  6. Step 6: Final answer
    x = 29,371.93

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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.