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Finding the Fourth Proportional to 54,718.94, 82,078.40 and 13,165.94

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Solution

The fourth proportional to 54,718.94, 82,078.40 and 13,165.94 is: 19,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,718.94 : 82,078.40 = 13,165.94 : x
  2. Step 2: Convert to fraction form
    54,718.94/82,078.40 = 13,165.94/x
  3. Step 3: Cross multiply
    54,718.94x = 82,078.40 × 13,165.94
  4. Step 4: Simplify right side
    54,718.94x = 1,080,639,289.70
  5. Step 5: Solve for x
    x = 1,080,639,289.70/54,718.94
  6. Step 6: Final answer
    x = 19,748.91

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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.