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Finding the Fourth Proportional to 214,574.99, 321,734.75 and 72,385.28

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Solution

The fourth proportional to 214,574.99, 321,734.75 and 72,385.28 is: 108,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574.99 : 321,734.75 = 72,385.28 : x
  2. Step 2: Convert to fraction form
    214,574.99/321,734.75 = 72,385.28/x
  3. Step 3: Cross multiply
    214,574.99x = 321,734.75 × 72,385.28
  4. Step 4: Simplify right side
    214,574.99x = 23,288,859,200.39
  5. Step 5: Solve for x
    x = 23,288,859,200.39/214,574.99
  6. Step 6: Final answer
    x = 108,534.83

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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.