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Finding the Fourth Proportional to 223,790.44, 308,830.81 and 123,188.44

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Solution

The fourth proportional to 223,790.44, 308,830.81 and 123,188.44 is: 170,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,790.44 : 308,830.81 = 123,188.44 : x
  2. Step 2: Convert to fraction form
    223,790.44/308,830.81 = 123,188.44/x
  3. Step 3: Cross multiply
    223,790.44x = 308,830.81 × 123,188.44
  4. Step 4: Simplify right side
    223,790.44x = 38,044,385,091.89
  5. Step 5: Solve for x
    x = 38,044,385,091.89/223,790.44
  6. Step 6: Final answer
    x = 170,000.05

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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.