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Finding the Fourth Proportional to 76,353, 105,367.20 and 42,819

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Solution

The fourth proportional to 76,353, 105,367.20 and 42,819 is: 59,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353 : 105,367.20 = 42,819 : x
  2. Step 2: Convert to fraction form
    76,353/105,367.20 = 42,819/x
  3. Step 3: Cross multiply
    76,353x = 105,367.20 × 42,819
  4. Step 4: Simplify right side
    76,353x = 4,511,718,136.80
  5. Step 5: Solve for x
    x = 4,511,718,136.80/76,353
  6. Step 6: Final answer
    x = 59,090.25

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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.