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Finding the Fourth Proportional to 51,240, 70,711.20 and 28,884

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Solution

The fourth proportional to 51,240, 70,711.20 and 28,884 is: 39,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 70,711.20 = 28,884 : x
  2. Step 2: Convert to fraction form
    51,240/70,711.20 = 28,884/x
  3. Step 3: Cross multiply
    51,240x = 70,711.20 × 28,884
  4. Step 4: Simplify right side
    51,240x = 2,042,422,300.80
  5. Step 5: Solve for x
    x = 2,042,422,300.80/51,240
  6. Step 6: Final answer
    x = 39,859.92

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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.