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Finding the Fourth Proportional to 51,271.40, 70,754.42 and 28,609

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Solution

The fourth proportional to 51,271.40, 70,754.42 and 28,609 is: 39,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,271.40 : 70,754.42 = 28,609 : x
  2. Step 2: Convert to fraction form
    51,271.40/70,754.42 = 28,609/x
  3. Step 3: Cross multiply
    51,271.40x = 70,754.42 × 28,609
  4. Step 4: Simplify right side
    51,271.40x = 2,024,213,201.78
  5. Step 5: Solve for x
    x = 2,024,213,201.78/51,271.40
  6. Step 6: Final answer
    x = 39,480.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.