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Finding the Fourth Proportional to 50,675.64, 75,991.56 and 19,489

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Solution

The fourth proportional to 50,675.64, 75,991.56 and 19,489 is: 29,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,675.64 : 75,991.56 = 19,489 : x
  2. Step 2: Convert to fraction form
    50,675.64/75,991.56 = 19,489/x
  3. Step 3: Cross multiply
    50,675.64x = 75,991.56 × 19,489
  4. Step 4: Simplify right side
    50,675.64x = 1,480,999,512.84
  5. Step 5: Solve for x
    x = 1,480,999,512.84/50,675.64
  6. Step 6: Final answer
    x = 29,225.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.