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Finding the Fourth Proportional to 221,495.31, 306,063.36 and 157,722.39

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Solution

The fourth proportional to 221,495.31, 306,063.36 and 157,722.39 is: 217,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,495.31 : 306,063.36 = 157,722.39 : x
  2. Step 2: Convert to fraction form
    221,495.31/306,063.36 = 157,722.39/x
  3. Step 3: Cross multiply
    221,495.31x = 306,063.36 × 157,722.39
  4. Step 4: Simplify right side
    221,495.31x = 48,273,044,630.63
  5. Step 5: Solve for x
    x = 48,273,044,630.63/221,495.31
  6. Step 6: Final answer
    x = 217,941.61

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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.