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Finding the Fourth Proportional to 51,749.64, 77,608.14 and 16,681.80

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Solution

The fourth proportional to 51,749.64, 77,608.14 and 16,681.80 is: 25,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,749.64 : 77,608.14 = 16,681.80 : x
  2. Step 2: Convert to fraction form
    51,749.64/77,608.14 = 16,681.80/x
  3. Step 3: Cross multiply
    51,749.64x = 77,608.14 × 16,681.80
  4. Step 4: Simplify right side
    51,749.64x = 1,294,643,469.85
  5. Step 5: Solve for x
    x = 1,294,643,469.85/51,749.64
  6. Step 6: Final answer
    x = 25,017.44

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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.