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Finding the Fourth Proportional to 51,138, 70,571.52 and 28,782

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Solution

The fourth proportional to 51,138, 70,571.52 and 28,782 is: 39,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138 : 70,571.52 = 28,782 : x
  2. Step 2: Convert to fraction form
    51,138/70,571.52 = 28,782/x
  3. Step 3: Cross multiply
    51,138x = 70,571.52 × 28,782
  4. Step 4: Simplify right side
    51,138x = 2,031,189,488.64
  5. Step 5: Solve for x
    x = 2,031,189,488.64/51,138
  6. Step 6: Final answer
    x = 39,719.77

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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.