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Finding the Fourth Proportional to 201,134.19, 301,828.56 and 112,445.88

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Solution

The fourth proportional to 201,134.19, 301,828.56 and 112,445.88 is: 168,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,134.19 : 301,828.56 = 112,445.88 : x
  2. Step 2: Convert to fraction form
    201,134.19/301,828.56 = 112,445.88/x
  3. Step 3: Cross multiply
    201,134.19x = 301,828.56 × 112,445.88
  4. Step 4: Simplify right side
    201,134.19x = 33,939,378,038.33
  5. Step 5: Solve for x
    x = 33,939,378,038.33/201,134.19
  6. Step 6: Final answer
    x = 168,739.97

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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.