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Finding the Fourth Proportional to 65,694.49, 98,541.78 and 18,309.72

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Solution

The fourth proportional to 65,694.49, 98,541.78 and 18,309.72 is: 27,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694.49 : 98,541.78 = 18,309.72 : x
  2. Step 2: Convert to fraction form
    65,694.49/98,541.78 = 18,309.72/x
  3. Step 3: Cross multiply
    65,694.49x = 98,541.78 × 18,309.72
  4. Step 4: Simplify right side
    65,694.49x = 1,804,272,400.10
  5. Step 5: Solve for x
    x = 1,804,272,400.10/65,694.49
  6. Step 6: Final answer
    x = 27,464.59

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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.