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Finding the Fourth Proportional to 214,967.40, 322,451.10 and 108,679.20

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Solution

The fourth proportional to 214,967.40, 322,451.10 and 108,679.20 is: 163,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.40 : 322,451.10 = 108,679.20 : x
  2. Step 2: Convert to fraction form
    214,967.40/322,451.10 = 108,679.20/x
  3. Step 3: Cross multiply
    214,967.40x = 322,451.10 × 108,679.20
  4. Step 4: Simplify right side
    214,967.40x = 35,043,727,587.12
  5. Step 5: Solve for x
    x = 35,043,727,587.12/214,967.40
  6. Step 6: Final answer
    x = 163,018.80

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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.