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Finding the Fourth Proportional to 214,355.40, 321,314.40 and 125,563.20

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Solution

The fourth proportional to 214,355.40, 321,314.40 and 125,563.20 is: 188,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,355.40 : 321,314.40 = 125,563.20 : x
  2. Step 2: Convert to fraction form
    214,355.40/321,314.40 = 125,563.20/x
  3. Step 3: Cross multiply
    214,355.40x = 321,314.40 × 125,563.20
  4. Step 4: Simplify right side
    214,355.40x = 40,345,264,270.08
  5. Step 5: Solve for x
    x = 40,345,264,270.08/214,355.40
  6. Step 6: Final answer
    x = 188,216.69

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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.