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Finding the Fourth Proportional to 223,781.98, 308,825.84 and 137,790.60

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Solution

The fourth proportional to 223,781.98, 308,825.84 and 137,790.60 is: 190,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,781.98 : 308,825.84 = 137,790.60 : x
  2. Step 2: Convert to fraction form
    223,781.98/308,825.84 = 137,790.60/x
  3. Step 3: Cross multiply
    223,781.98x = 308,825.84 × 137,790.60
  4. Step 4: Simplify right side
    223,781.98x = 42,553,297,789.10
  5. Step 5: Solve for x
    x = 42,553,297,789.10/223,781.98
  6. Step 6: Final answer
    x = 190,155.16

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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.