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Finding the Fourth Proportional to 54,643, 81,977.48 and 17,707

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Solution

The fourth proportional to 54,643, 81,977.48 and 17,707 is: 26,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643 : 81,977.48 = 17,707 : x
  2. Step 2: Convert to fraction form
    54,643/81,977.48 = 17,707/x
  3. Step 3: Cross multiply
    54,643x = 81,977.48 × 17,707
  4. Step 4: Simplify right side
    54,643x = 1,451,575,238.36
  5. Step 5: Solve for x
    x = 1,451,575,238.36/54,643
  6. Step 6: Final answer
    x = 26,564.71

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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.