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Finding the Fourth Proportional to 51,234.50, 70,703.61 and 28,878.50

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Solution

The fourth proportional to 51,234.50, 70,703.61 and 28,878.50 is: 39,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234.50 : 70,703.61 = 28,878.50 : x
  2. Step 2: Convert to fraction form
    51,234.50/70,703.61 = 28,878.50/x
  3. Step 3: Cross multiply
    51,234.50x = 70,703.61 × 28,878.50
  4. Step 4: Simplify right side
    51,234.50x = 2,041,814,201.39
  5. Step 5: Solve for x
    x = 2,041,814,201.39/51,234.50
  6. Step 6: Final answer
    x = 39,852.33

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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.