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Finding the Fourth Proportional to 50,871.64, 70,202.64 and 28,515.64

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Solution

The fourth proportional to 50,871.64, 70,202.64 and 28,515.64 is: 39,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871.64 : 70,202.64 = 28,515.64 : x
  2. Step 2: Convert to fraction form
    50,871.64/70,202.64 = 28,515.64/x
  3. Step 3: Cross multiply
    50,871.64x = 70,202.64 × 28,515.64
  4. Step 4: Simplify right side
    50,871.64x = 2,001,873,209.29
  5. Step 5: Solve for x
    x = 2,001,873,209.29/50,871.64
  6. Step 6: Final answer
    x = 39,351.46

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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.