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Finding the Fourth Proportional to 221,958.93, 306,298.71 and 121,356.93

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Solution

The fourth proportional to 221,958.93, 306,298.71 and 121,356.93 is: 167,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,958.93 : 306,298.71 = 121,356.93 : x
  2. Step 2: Convert to fraction form
    221,958.93/306,298.71 = 121,356.93/x
  3. Step 3: Cross multiply
    221,958.93x = 306,298.71 × 121,356.93
  4. Step 4: Simplify right side
    221,958.93x = 37,171,471,108.56
  5. Step 5: Solve for x
    x = 37,171,471,108.56/221,958.93
  6. Step 6: Final answer
    x = 167,470.04

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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.