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Finding the Fourth Proportional to 76,482.20, 105,546.78 and 42,493.80

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Solution

The fourth proportional to 76,482.20, 105,546.78 and 42,493.80 is: 58,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,482.20 : 105,546.78 = 42,493.80 : x
  2. Step 2: Convert to fraction form
    76,482.20/105,546.78 = 42,493.80/x
  3. Step 3: Cross multiply
    76,482.20x = 105,546.78 × 42,493.80
  4. Step 4: Simplify right side
    76,482.20x = 4,485,083,759.96
  5. Step 5: Solve for x
    x = 4,485,083,759.96/76,482.20
  6. Step 6: Final answer
    x = 58,642.19

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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.