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Finding the Fourth Proportional to 200,529.49, 300,783.16 and 67,396

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Solution

The fourth proportional to 200,529.49, 300,783.16 and 67,396 is: 101,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,529.49 : 300,783.16 = 67,396 : x
  2. Step 2: Convert to fraction form
    200,529.49/300,783.16 = 67,396/x
  3. Step 3: Cross multiply
    200,529.49x = 300,783.16 × 67,396
  4. Step 4: Simplify right side
    200,529.49x = 20,271,581,851.36
  5. Step 5: Solve for x
    x = 20,271,581,851.36/200,529.49
  6. Step 6: Final answer
    x = 101,090.28

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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.