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Finding the Fourth Proportional to 214,875.70, 322,314.45 and 72,722.10

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Solution

The fourth proportional to 214,875.70, 322,314.45 and 72,722.10 is: 109,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,875.70 : 322,314.45 = 72,722.10 : x
  2. Step 2: Convert to fraction form
    214,875.70/322,314.45 = 72,722.10/x
  3. Step 3: Cross multiply
    214,875.70x = 322,314.45 × 72,722.10
  4. Step 4: Simplify right side
    214,875.70x = 23,439,383,664.35
  5. Step 5: Solve for x
    x = 23,439,383,664.35/214,875.70
  6. Step 6: Final answer
    x = 109,083.45

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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.