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Finding the Fourth Proportional to 242,914.71, 335,222.82 and 135,491.64

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Solution

The fourth proportional to 242,914.71, 335,222.82 and 135,491.64 is: 186,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,914.71 : 335,222.82 = 135,491.64 : x
  2. Step 2: Convert to fraction form
    242,914.71/335,222.82 = 135,491.64/x
  3. Step 3: Cross multiply
    242,914.71x = 335,222.82 × 135,491.64
  4. Step 4: Simplify right side
    242,914.71x = 45,419,889,647.22
  5. Step 5: Solve for x
    x = 45,419,889,647.22/242,914.71
  6. Step 6: Final answer
    x = 186,978.75

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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.