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Finding the Fourth Proportional to 76,372.22, 105,390 and 42,380.30

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Solution

The fourth proportional to 76,372.22, 105,390 and 42,380.30 is: 58,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,372.22 : 105,390 = 42,380.30 : x
  2. Step 2: Convert to fraction form
    76,372.22/105,390 = 42,380.30/x
  3. Step 3: Cross multiply
    76,372.22x = 105,390 × 42,380.30
  4. Step 4: Simplify right side
    76,372.22x = 4,466,459,290.05
  5. Step 5: Solve for x
    x = 4,466,459,290.05/76,372.22
  6. Step 6: Final answer
    x = 58,482.78

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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.