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Finding the Fourth Proportional to 214,642.60, 321,704.70 and 109,407.40

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Solution

The fourth proportional to 214,642.60, 321,704.70 and 109,407.40 is: 163,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,642.60 : 321,704.70 = 109,407.40 : x
  2. Step 2: Convert to fraction form
    214,642.60/321,704.70 = 109,407.40/x
  3. Step 3: Cross multiply
    214,642.60x = 321,704.70 × 109,407.40
  4. Step 4: Simplify right side
    214,642.60x = 35,196,874,794.78
  5. Step 5: Solve for x
    x = 35,196,874,794.78/214,642.60
  6. Step 6: Final answer
    x = 163,978.98

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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.