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Finding the Fourth Proportional to 223,335.88, 308,364.41 and 137,410.47

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Solution

The fourth proportional to 223,335.88, 308,364.41 and 137,410.47 is: 189,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,335.88 : 308,364.41 = 137,410.47 : x
  2. Step 2: Convert to fraction form
    223,335.88/308,364.41 = 137,410.47/x
  3. Step 3: Cross multiply
    223,335.88x = 308,364.41 × 137,410.47
  4. Step 4: Simplify right side
    223,335.88x = 42,372,498,852.90
  5. Step 5: Solve for x
    x = 42,372,498,852.90/223,335.88
  6. Step 6: Final answer
    x = 189,725.45

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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.