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Finding the Fourth Proportional to 50,871, 70,208.46 and 28,515

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Solution

The fourth proportional to 50,871, 70,208.46 and 28,515 is: 39,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871 : 70,208.46 = 28,515 : x
  2. Step 2: Convert to fraction form
    50,871/70,208.46 = 28,515/x
  3. Step 3: Cross multiply
    50,871x = 70,208.46 × 28,515
  4. Step 4: Simplify right side
    50,871x = 2,001,994,236.90
  5. Step 5: Solve for x
    x = 2,001,994,236.90/50,871
  6. Step 6: Final answer
    x = 39,354.33

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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.