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Finding the Fourth Proportional to 65,889.82, 98,834.93 and 15,969.72

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Solution

The fourth proportional to 65,889.82, 98,834.93 and 15,969.72 is: 23,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,889.82 : 98,834.93 = 15,969.72 : x
  2. Step 2: Convert to fraction form
    65,889.82/98,834.93 = 15,969.72/x
  3. Step 3: Cross multiply
    65,889.82x = 98,834.93 × 15,969.72
  4. Step 4: Simplify right side
    65,889.82x = 1,578,366,078.47
  5. Step 5: Solve for x
    x = 1,578,366,078.47/65,889.82
  6. Step 6: Final answer
    x = 23,954.63

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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.