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Finding the Fourth Proportional to 214,055.80, 295,351.50 and 129,171.40

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Solution

The fourth proportional to 214,055.80, 295,351.50 and 129,171.40 is: 178,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,055.80 : 295,351.50 = 129,171.40 : x
  2. Step 2: Convert to fraction form
    214,055.80/295,351.50 = 129,171.40/x
  3. Step 3: Cross multiply
    214,055.80x = 295,351.50 × 129,171.40
  4. Step 4: Simplify right side
    214,055.80x = 38,150,966,747.10
  5. Step 5: Solve for x
    x = 38,150,966,747.10/214,055.80
  6. Step 6: Final answer
    x = 178,229.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.