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Finding the Fourth Proportional to 200,780.52, 300,711.10 and 100,969.08

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Solution

The fourth proportional to 200,780.52, 300,711.10 and 100,969.08 is: 151,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780.52 : 300,711.10 = 100,969.08 : x
  2. Step 2: Convert to fraction form
    200,780.52/300,711.10 = 100,969.08/x
  3. Step 3: Cross multiply
    200,780.52x = 300,711.10 × 100,969.08
  4. Step 4: Simplify right side
    200,780.52x = 30,362,523,112.79
  5. Step 5: Solve for x
    x = 30,362,523,112.79/200,780.52
  6. Step 6: Final answer
    x = 151,222.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.