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Finding the Fourth Proportional to 201,699.09, 278,342.45 and 111,053.20

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Solution

The fourth proportional to 201,699.09, 278,342.45 and 111,053.20 is: 153,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699.09 : 278,342.45 = 111,053.20 : x
  2. Step 2: Convert to fraction form
    201,699.09/278,342.45 = 111,053.20/x
  3. Step 3: Cross multiply
    201,699.09x = 278,342.45 × 111,053.20
  4. Step 4: Simplify right side
    201,699.09x = 30,910,819,768.34
  5. Step 5: Solve for x
    x = 30,910,819,768.34/201,699.09
  6. Step 6: Final answer
    x = 153,252.15

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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.