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Finding the Fourth Proportional to 50,672.62, 75,987.06 and 19,486

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Solution

The fourth proportional to 50,672.62, 75,987.06 and 19,486 is: 29,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,672.62 : 75,987.06 = 19,486 : x
  2. Step 2: Convert to fraction form
    50,672.62/75,987.06 = 19,486/x
  3. Step 3: Cross multiply
    50,672.62x = 75,987.06 × 19,486
  4. Step 4: Simplify right side
    50,672.62x = 1,480,683,851.16
  5. Step 5: Solve for x
    x = 1,480,683,851.16/50,672.62
  6. Step 6: Final answer
    x = 29,220.59

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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.