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Finding the Fourth Proportional to 154,073.60, 231,110.40 and 143,138.60

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Solution

The fourth proportional to 154,073.60, 231,110.40 and 143,138.60 is: 214,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,073.60 : 231,110.40 = 143,138.60 : x
  2. Step 2: Convert to fraction form
    154,073.60/231,110.40 = 143,138.60/x
  3. Step 3: Cross multiply
    154,073.60x = 231,110.40 × 143,138.60
  4. Step 4: Simplify right side
    154,073.60x = 33,080,819,101.44
  5. Step 5: Solve for x
    x = 33,080,819,101.44/154,073.60
  6. Step 6: Final answer
    x = 214,707.90

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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.