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Finding the Fourth Proportional to 214,844.40, 322,169.40 and 81,680.40

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Solution

The fourth proportional to 214,844.40, 322,169.40 and 81,680.40 is: 122,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,844.40 : 322,169.40 = 81,680.40 : x
  2. Step 2: Convert to fraction form
    214,844.40/322,169.40 = 81,680.40/x
  3. Step 3: Cross multiply
    214,844.40x = 322,169.40 × 81,680.40
  4. Step 4: Simplify right side
    214,844.40x = 26,314,925,459.76
  5. Step 5: Solve for x
    x = 26,314,925,459.76/214,844.40
  6. Step 6: Final answer
    x = 122,483.65

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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.