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Finding the Fourth Proportional to 98,287.28, 135,489.46 and 77,029.64

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Solution

The fourth proportional to 98,287.28, 135,489.46 and 77,029.64 is: 106,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287.28 : 135,489.46 = 77,029.64 : x
  2. Step 2: Convert to fraction form
    98,287.28/135,489.46 = 77,029.64/x
  3. Step 3: Cross multiply
    98,287.28x = 135,489.46 × 77,029.64
  4. Step 4: Simplify right side
    98,287.28x = 10,436,704,327.59
  5. Step 5: Solve for x
    x = 10,436,704,327.59/98,287.28
  6. Step 6: Final answer
    x = 106,185.71

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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.