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Finding the Fourth Proportional to 82,018.14, 112,446.86 and 80,523.46

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Solution

The fourth proportional to 82,018.14, 112,446.86 and 80,523.46 is: 110,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,018.14 : 112,446.86 = 80,523.46 : x
  2. Step 2: Convert to fraction form
    82,018.14/112,446.86 = 80,523.46/x
  3. Step 3: Cross multiply
    82,018.14x = 112,446.86 × 80,523.46
  4. Step 4: Simplify right side
    82,018.14x = 9,054,609,830.72
  5. Step 5: Solve for x
    x = 9,054,609,830.72/82,018.14
  6. Step 6: Final answer
    x = 110,397.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.