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Finding the Fourth Proportional to 214,665.60, 321,739.20 and 109,430.40

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Solution

The fourth proportional to 214,665.60, 321,739.20 and 109,430.40 is: 164,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,665.60 : 321,739.20 = 109,430.40 : x
  2. Step 2: Convert to fraction form
    214,665.60/321,739.20 = 109,430.40/x
  3. Step 3: Cross multiply
    214,665.60x = 321,739.20 × 109,430.40
  4. Step 4: Simplify right side
    214,665.60x = 35,208,049,351.68
  5. Step 5: Solve for x
    x = 35,208,049,351.68/214,665.60
  6. Step 6: Final answer
    x = 164,013.47

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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.