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Finding the Fourth Proportional to 229,316.94, 344,034.81 and 87,164.64

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Solution

The fourth proportional to 229,316.94, 344,034.81 and 87,164.64 is: 130,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,316.94 : 344,034.81 = 87,164.64 : x
  2. Step 2: Convert to fraction form
    229,316.94/344,034.81 = 87,164.64/x
  3. Step 3: Cross multiply
    229,316.94x = 344,034.81 × 87,164.64
  4. Step 4: Simplify right side
    229,316.94x = 29,987,670,361.12
  5. Step 5: Solve for x
    x = 29,987,670,361.12/229,316.94
  6. Step 6: Final answer
    x = 130,769.54

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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.