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Finding the Fourth Proportional to 201,927.84, 278,662.32 and 111,287.07

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Solution

The fourth proportional to 201,927.84, 278,662.32 and 111,287.07 is: 153,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,927.84 : 278,662.32 = 111,287.07 : x
  2. Step 2: Convert to fraction form
    201,927.84/278,662.32 = 111,287.07/x
  3. Step 3: Cross multiply
    201,927.84x = 278,662.32 × 111,287.07
  4. Step 4: Simplify right side
    201,927.84x = 31,011,513,112.20
  5. Step 5: Solve for x
    x = 31,011,513,112.20/201,927.84
  6. Step 6: Final answer
    x = 153,577.20

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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.