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Finding the Fourth Proportional to 51,220, 70,684.32 and 28,864

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Solution

The fourth proportional to 51,220, 70,684.32 and 28,864 is: 39,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,220 : 70,684.32 = 28,864 : x
  2. Step 2: Convert to fraction form
    51,220/70,684.32 = 28,864/x
  3. Step 3: Cross multiply
    51,220x = 70,684.32 × 28,864
  4. Step 4: Simplify right side
    51,220x = 2,040,232,212.48
  5. Step 5: Solve for x
    x = 2,040,232,212.48/51,220
  6. Step 6: Final answer
    x = 39,832.73

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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.