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Finding the Fourth Proportional to 205,200.54, 308,267.89 and 148,449.49

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Solution

The fourth proportional to 205,200.54, 308,267.89 and 148,449.49 is: 223,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,200.54 : 308,267.89 = 148,449.49 : x
  2. Step 2: Convert to fraction form
    205,200.54/308,267.89 = 148,449.49/x
  3. Step 3: Cross multiply
    205,200.54x = 308,267.89 × 148,449.49
  4. Step 4: Simplify right side
    205,200.54x = 45,762,211,053.88
  5. Step 5: Solve for x
    x = 45,762,211,053.88/205,200.54
  6. Step 6: Final answer
    x = 223,012.14

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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.