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Finding the Fourth Proportional to 214,523.60, 321,900.60 and 89,877.20

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Solution

The fourth proportional to 214,523.60, 321,900.60 and 89,877.20 is: 134,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,523.60 : 321,900.60 = 89,877.20 : x
  2. Step 2: Convert to fraction form
    214,523.60/321,900.60 = 89,877.20/x
  3. Step 3: Cross multiply
    214,523.60x = 321,900.60 × 89,877.20
  4. Step 4: Simplify right side
    214,523.60x = 28,931,524,606.32
  5. Step 5: Solve for x
    x = 28,931,524,606.32/214,523.60
  6. Step 6: Final answer
    x = 134,864.06

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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.