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Finding the Fourth Proportional to 214,300.94, 321,428.86 and 87,954.53

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Solution

The fourth proportional to 214,300.94, 321,428.86 and 87,954.53 is: 131,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,300.94 : 321,428.86 = 87,954.53 : x
  2. Step 2: Convert to fraction form
    214,300.94/321,428.86 = 87,954.53/x
  3. Step 3: Cross multiply
    214,300.94x = 321,428.86 × 87,954.53
  4. Step 4: Simplify right side
    214,300.94x = 28,271,125,194.76
  5. Step 5: Solve for x
    x = 28,271,125,194.76/214,300.94
  6. Step 6: Final answer
    x = 131,922.54

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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.