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Finding the Fourth Proportional to 223,430.64, 308,335.86 and 121,456.14

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Solution

The fourth proportional to 223,430.64, 308,335.86 and 121,456.14 is: 167,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,430.64 : 308,335.86 = 121,456.14 : x
  2. Step 2: Convert to fraction form
    223,430.64/308,335.86 = 121,456.14/x
  3. Step 3: Cross multiply
    223,430.64x = 308,335.86 × 121,456.14
  4. Step 4: Simplify right side
    223,430.64x = 37,449,283,379.18
  5. Step 5: Solve for x
    x = 37,449,283,379.18/223,430.64
  6. Step 6: Final answer
    x = 167,610.33

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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.