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Finding the Fourth Proportional to 223,723.76, 308,734.80 and 121,745.76

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Solution

The fourth proportional to 223,723.76, 308,734.80 and 121,745.76 is: 168,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,723.76 : 308,734.80 = 121,745.76 : x
  2. Step 2: Convert to fraction form
    223,723.76/308,734.80 = 121,745.76/x
  3. Step 3: Cross multiply
    223,723.76x = 308,734.80 × 121,745.76
  4. Step 4: Simplify right side
    223,723.76x = 37,587,152,864.45
  5. Step 5: Solve for x
    x = 37,587,152,864.45/223,723.76
  6. Step 6: Final answer
    x = 168,006.98

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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.