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Finding the Fourth Proportional to 242,643.10, 363,975.45 and 82,716.70

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Solution

The fourth proportional to 242,643.10, 363,975.45 and 82,716.70 is: 124,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,643.10 : 363,975.45 = 82,716.70 : x
  2. Step 2: Convert to fraction form
    242,643.10/363,975.45 = 82,716.70/x
  3. Step 3: Cross multiply
    242,643.10x = 363,975.45 × 82,716.70
  4. Step 4: Simplify right side
    242,643.10x = 30,106,848,105.02
  5. Step 5: Solve for x
    x = 30,106,848,105.02/242,643.10
  6. Step 6: Final answer
    x = 124,078.73

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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.