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Finding the Fourth Proportional to 76,797.95, 105,984.45 and 42,806.42

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Solution

The fourth proportional to 76,797.95, 105,984.45 and 42,806.42 is: 59,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797.95 : 105,984.45 = 42,806.42 : x
  2. Step 2: Convert to fraction form
    76,797.95/105,984.45 = 42,806.42/x
  3. Step 3: Cross multiply
    76,797.95x = 105,984.45 × 42,806.42
  4. Step 4: Simplify right side
    76,797.95x = 4,536,815,343.85
  5. Step 5: Solve for x
    x = 4,536,815,343.85/76,797.95
  6. Step 6: Final answer
    x = 59,074.70

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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.