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Finding the Fourth Proportional to 214,575.60, 321,978.60 and 89,929.20

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Solution

The fourth proportional to 214,575.60, 321,978.60 and 89,929.20 is: 134,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,575.60 : 321,978.60 = 89,929.20 : x
  2. Step 2: Convert to fraction form
    214,575.60/321,978.60 = 89,929.20/x
  3. Step 3: Cross multiply
    214,575.60x = 321,978.60 × 89,929.20
  4. Step 4: Simplify right side
    214,575.60x = 28,955,277,915.12
  5. Step 5: Solve for x
    x = 28,955,277,915.12/214,575.60
  6. Step 6: Final answer
    x = 134,942.08

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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.