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Finding the Fourth Proportional to 65,868.99, 98,803.73 and 15,949

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Solution

The fourth proportional to 65,868.99, 98,803.73 and 15,949 is: 23,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,868.99 : 98,803.73 = 15,949 : x
  2. Step 2: Convert to fraction form
    65,868.99/98,803.73 = 15,949/x
  3. Step 3: Cross multiply
    65,868.99x = 98,803.73 × 15,949
  4. Step 4: Simplify right side
    65,868.99x = 1,575,820,689.77
  5. Step 5: Solve for x
    x = 1,575,820,689.77/65,868.99
  6. Step 6: Final answer
    x = 23,923.56

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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.