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Finding the Fourth Proportional to 214,466.60, 321,815.10 and 89,820.20

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Solution

The fourth proportional to 214,466.60, 321,815.10 and 89,820.20 is: 134,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,466.60 : 321,815.10 = 89,820.20 : x
  2. Step 2: Convert to fraction form
    214,466.60/321,815.10 = 89,820.20/x
  3. Step 3: Cross multiply
    214,466.60x = 321,815.10 × 89,820.20
  4. Step 4: Simplify right side
    214,466.60x = 28,905,496,645.02
  5. Step 5: Solve for x
    x = 28,905,496,645.02/214,466.60
  6. Step 6: Final answer
    x = 134,778.55

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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.