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Finding the Fourth Proportional to 223,873.76, 308,952.64 and 121,905.92

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Solution

The fourth proportional to 223,873.76, 308,952.64 and 121,905.92 is: 168,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,873.76 : 308,952.64 = 121,905.92 : x
  2. Step 2: Convert to fraction form
    223,873.76/308,952.64 = 121,905.92/x
  3. Step 3: Cross multiply
    223,873.76x = 308,952.64 × 121,905.92
  4. Step 4: Simplify right side
    223,873.76x = 37,663,155,815.63
  5. Step 5: Solve for x
    x = 37,663,155,815.63/223,873.76
  6. Step 6: Final answer
    x = 168,233.90

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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.