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Finding the Fourth Proportional to 51,138.50, 70,572.21 and 28,782.50

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Solution

The fourth proportional to 51,138.50, 70,572.21 and 28,782.50 is: 39,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138.50 : 70,572.21 = 28,782.50 : x
  2. Step 2: Convert to fraction form
    51,138.50/70,572.21 = 28,782.50/x
  3. Step 3: Cross multiply
    51,138.50x = 70,572.21 × 28,782.50
  4. Step 4: Simplify right side
    51,138.50x = 2,031,244,634.33
  5. Step 5: Solve for x
    x = 2,031,244,634.33/51,138.50
  6. Step 6: Final answer
    x = 39,720.46

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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.