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Finding the Fourth Proportional to 200,420.70, 300,145.05 and 106,719.90

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Solution

The fourth proportional to 200,420.70, 300,145.05 and 106,719.90 is: 159,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420.70 : 300,145.05 = 106,719.90 : x
  2. Step 2: Convert to fraction form
    200,420.70/300,145.05 = 106,719.90/x
  3. Step 3: Cross multiply
    200,420.70x = 300,145.05 × 106,719.90
  4. Step 4: Simplify right side
    200,420.70x = 32,031,449,721.50
  5. Step 5: Solve for x
    x = 32,031,449,721.50/200,420.70
  6. Step 6: Final answer
    x = 159,821.06

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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.