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Finding the Fourth Proportional to 154,135.20, 231,202.80 and 43,312.80

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Solution

The fourth proportional to 154,135.20, 231,202.80 and 43,312.80 is: 64,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,135.20 : 231,202.80 = 43,312.80 : x
  2. Step 2: Convert to fraction form
    154,135.20/231,202.80 = 43,312.80/x
  3. Step 3: Cross multiply
    154,135.20x = 231,202.80 × 43,312.80
  4. Step 4: Simplify right side
    154,135.20x = 10,014,040,635.84
  5. Step 5: Solve for x
    x = 10,014,040,635.84/154,135.20
  6. Step 6: Final answer
    x = 64,969.20

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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.