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Finding the Fourth Proportional to 205,019.80, 307,529.70 and 149,032.60

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Solution

The fourth proportional to 205,019.80, 307,529.70 and 149,032.60 is: 223,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.80 : 307,529.70 = 149,032.60 : x
  2. Step 2: Convert to fraction form
    205,019.80/307,529.70 = 149,032.60/x
  3. Step 3: Cross multiply
    205,019.80x = 307,529.70 × 149,032.60
  4. Step 4: Simplify right side
    205,019.80x = 45,831,950,768.22
  5. Step 5: Solve for x
    x = 45,831,950,768.22/205,019.80
  6. Step 6: Final answer
    x = 223,548.90

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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.