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Finding the Fourth Proportional to 214,638.57, 321,957.59 and 81,518.58

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Solution

The fourth proportional to 214,638.57, 321,957.59 and 81,518.58 is: 122,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,638.57 : 321,957.59 = 81,518.58 : x
  2. Step 2: Convert to fraction form
    214,638.57/321,957.59 = 81,518.58/x
  3. Step 3: Cross multiply
    214,638.57x = 321,957.59 × 81,518.58
  4. Step 4: Simplify right side
    214,638.57x = 26,245,525,149.43
  5. Step 5: Solve for x
    x = 26,245,525,149.43/214,638.57
  6. Step 6: Final answer
    x = 122,277.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.