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Finding the Fourth Proportional to 127,475.69, 191,972.40 and 111,034.31

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Solution

The fourth proportional to 127,475.69, 191,972.40 and 111,034.31 is: 167,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,475.69 : 191,972.40 = 111,034.31 : x
  2. Step 2: Convert to fraction form
    127,475.69/191,972.40 = 111,034.31/x
  3. Step 3: Cross multiply
    127,475.69x = 191,972.40 × 111,034.31
  4. Step 4: Simplify right side
    127,475.69x = 21,315,522,676.65
  5. Step 5: Solve for x
    x = 21,315,522,676.65/127,475.69
  6. Step 6: Final answer
    x = 167,212.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.