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Finding the Fourth Proportional to 149,028.78, 223,543.14 and 38,220.78

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Solution

The fourth proportional to 149,028.78, 223,543.14 and 38,220.78 is: 57,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,028.78 : 223,543.14 = 38,220.78 : x
  2. Step 2: Convert to fraction form
    149,028.78/223,543.14 = 38,220.78/x
  3. Step 3: Cross multiply
    149,028.78x = 223,543.14 × 38,220.78
  4. Step 4: Simplify right side
    149,028.78x = 8,543,993,174.45
  5. Step 5: Solve for x
    x = 8,543,993,174.45/149,028.78
  6. Step 6: Final answer
    x = 57,331.16

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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.