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Finding the Fourth Proportional to 201,809.02, 278,498.37 and 111,165.40

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Solution

The fourth proportional to 201,809.02, 278,498.37 and 111,165.40 is: 153,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.02 : 278,498.37 = 111,165.40 : x
  2. Step 2: Convert to fraction form
    201,809.02/278,498.37 = 111,165.40/x
  3. Step 3: Cross multiply
    201,809.02x = 278,498.37 × 111,165.40
  4. Step 4: Simplify right side
    201,809.02x = 30,959,382,700.40
  5. Step 5: Solve for x
    x = 30,959,382,700.40/201,809.02
  6. Step 6: Final answer
    x = 153,409.31

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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.