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Finding the Fourth Proportional to 221,858.64, 306,196.80 and 126,374.40

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Solution

The fourth proportional to 221,858.64, 306,196.80 and 126,374.40 is: 174,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,858.64 : 306,196.80 = 126,374.40 : x
  2. Step 2: Convert to fraction form
    221,858.64/306,196.80 = 126,374.40/x
  3. Step 3: Cross multiply
    221,858.64x = 306,196.80 × 126,374.40
  4. Step 4: Simplify right side
    221,858.64x = 38,695,436,881.92
  5. Step 5: Solve for x
    x = 38,695,436,881.92/221,858.64
  6. Step 6: Final answer
    x = 174,414.83

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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.