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Finding the Fourth Proportional to 224,688.06, 309,973.21 and 129,174.48

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Solution

The fourth proportional to 224,688.06, 309,973.21 and 129,174.48 is: 178,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,688.06 : 309,973.21 = 129,174.48 : x
  2. Step 2: Convert to fraction form
    224,688.06/309,973.21 = 129,174.48/x
  3. Step 3: Cross multiply
    224,688.06x = 309,973.21 × 129,174.48
  4. Step 4: Simplify right side
    224,688.06x = 40,040,628,215.68
  5. Step 5: Solve for x
    x = 40,040,628,215.68/224,688.06
  6. Step 6: Final answer
    x = 178,205.41

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1.5x scale

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.