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Finding the Fourth Proportional to 201,222.80, 277,685.84 and 109,341.28

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Solution

The fourth proportional to 201,222.80, 277,685.84 and 109,341.28 is: 150,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222.80 : 277,685.84 = 109,341.28 : x
  2. Step 2: Convert to fraction form
    201,222.80/277,685.84 = 109,341.28/x
  3. Step 3: Cross multiply
    201,222.80x = 277,685.84 × 109,341.28
  4. Step 4: Simplify right side
    201,222.80x = 30,362,525,183.48
  5. Step 5: Solve for x
    x = 30,362,525,183.48/201,222.80
  6. Step 6: Final answer
    x = 150,890.08

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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.