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Finding the Fourth Proportional to 201,930.84, 278,666.46 and 111,290.07

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Solution

The fourth proportional to 201,930.84, 278,666.46 and 111,290.07 is: 153,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930.84 : 278,666.46 = 111,290.07 : x
  2. Step 2: Convert to fraction form
    201,930.84/278,666.46 = 111,290.07/x
  3. Step 3: Cross multiply
    201,930.84x = 278,666.46 × 111,290.07
  4. Step 4: Simplify right side
    201,930.84x = 31,012,809,840.05
  5. Step 5: Solve for x
    x = 31,012,809,840.05/201,930.84
  6. Step 6: Final answer
    x = 153,581.34

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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.