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Finding the Fourth Proportional to 82,739.61, 114,181.88 and 79,875.78

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Solution

The fourth proportional to 82,739.61, 114,181.88 and 79,875.78 is: 110,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,739.61 : 114,181.88 = 79,875.78 : x
  2. Step 2: Convert to fraction form
    82,739.61/114,181.88 = 79,875.78/x
  3. Step 3: Cross multiply
    82,739.61x = 114,181.88 × 79,875.78
  4. Step 4: Simplify right side
    82,739.61x = 9,120,366,339.52
  5. Step 5: Solve for x
    x = 9,120,366,339.52/82,739.61
  6. Step 6: Final answer
    x = 110,229.74

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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.