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Finding the Fourth Proportional to 283,136.58, 424,704.87 and 72,774.72

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Solution

The fourth proportional to 283,136.58, 424,704.87 and 72,774.72 is: 109,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,136.58 : 424,704.87 = 72,774.72 : x
  2. Step 2: Convert to fraction form
    283,136.58/424,704.87 = 72,774.72/x
  3. Step 3: Cross multiply
    283,136.58x = 424,704.87 × 72,774.72
  4. Step 4: Simplify right side
    283,136.58x = 30,907,777,996.89
  5. Step 5: Solve for x
    x = 30,907,777,996.89/283,136.58
  6. Step 6: Final answer
    x = 109,162.08

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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.