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Finding the Fourth Proportional to 214,638.68, 321,885.12 and 74,364.56

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Solution

The fourth proportional to 214,638.68, 321,885.12 and 74,364.56 is: 111,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,638.68 : 321,885.12 = 74,364.56 : x
  2. Step 2: Convert to fraction form
    214,638.68/321,885.12 = 74,364.56/x
  3. Step 3: Cross multiply
    214,638.68x = 321,885.12 × 74,364.56
  4. Step 4: Simplify right side
    214,638.68x = 23,936,845,319.35
  5. Step 5: Solve for x
    x = 23,936,845,319.35/214,638.68
  6. Step 6: Final answer
    x = 111,521.58

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1.5x scale

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.