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Finding the Fourth Proportional to 82,374.80, 123,562.20 and 76,845.20

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Solution

The fourth proportional to 82,374.80, 123,562.20 and 76,845.20 is: 115,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374.80 : 123,562.20 = 76,845.20 : x
  2. Step 2: Convert to fraction form
    82,374.80/123,562.20 = 76,845.20/x
  3. Step 3: Cross multiply
    82,374.80x = 123,562.20 × 76,845.20
  4. Step 4: Simplify right side
    82,374.80x = 9,495,161,971.44
  5. Step 5: Solve for x
    x = 9,495,161,971.44/82,374.80
  6. Step 6: Final answer
    x = 115,267.80

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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.