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Finding the Fourth Proportional to 166,239, 229,485.32 and 105,892.36

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Solution

The fourth proportional to 166,239, 229,485.32 and 105,892.36 is: 146,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,239 : 229,485.32 = 105,892.36 : x
  2. Step 2: Convert to fraction form
    166,239/229,485.32 = 105,892.36/x
  3. Step 3: Cross multiply
    166,239x = 229,485.32 × 105,892.36
  4. Step 4: Simplify right side
    166,239x = 24,300,742,120.16
  5. Step 5: Solve for x
    x = 24,300,742,120.16/166,239
  6. Step 6: Final answer
    x = 146,179.55

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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.