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Finding the Fourth Proportional to 80,844, 111,568.16 and 45,034.04

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Solution

The fourth proportional to 80,844, 111,568.16 and 45,034.04 is: 62,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,844 : 111,568.16 = 45,034.04 : x
  2. Step 2: Convert to fraction form
    80,844/111,568.16 = 45,034.04/x
  3. Step 3: Cross multiply
    80,844x = 111,568.16 × 45,034.04
  4. Step 4: Simplify right side
    80,844x = 5,024,364,980.17
  5. Step 5: Solve for x
    x = 5,024,364,980.17/80,844
  6. Step 6: Final answer
    x = 62,148.89

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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.