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Finding the Fourth Proportional to 223,422.96, 308,315.88 and 122,820.24

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Solution

The fourth proportional to 223,422.96, 308,315.88 and 122,820.24 is: 169,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,422.96 : 308,315.88 = 122,820.24 : x
  2. Step 2: Convert to fraction form
    223,422.96/308,315.88 = 122,820.24/x
  3. Step 3: Cross multiply
    223,422.96x = 308,315.88 × 122,820.24
  4. Step 4: Simplify right side
    223,422.96x = 37,867,430,377.41
  5. Step 5: Solve for x
    x = 37,867,430,377.41/223,422.96
  6. Step 6: Final answer
    x = 169,487.64

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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.