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Finding the Fourth Proportional to 223,473.92, 308,409.12 and 122,871.68

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Solution

The fourth proportional to 223,473.92, 308,409.12 and 122,871.68 is: 169,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,473.92 : 308,409.12 = 122,871.68 : x
  2. Step 2: Convert to fraction form
    223,473.92/308,409.12 = 122,871.68/x
  3. Step 3: Cross multiply
    223,473.92x = 308,409.12 × 122,871.68
  4. Step 4: Simplify right side
    223,473.92x = 37,894,746,701.72
  5. Step 5: Solve for x
    x = 37,894,746,701.72/223,473.92
  6. Step 6: Final answer
    x = 169,571.23

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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.