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Finding the Fourth Proportional to 154,493.64, 231,828.12 and 83,415.32

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Solution

The fourth proportional to 154,493.64, 231,828.12 and 83,415.32 is: 125,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,493.64 : 231,828.12 = 83,415.32 : x
  2. Step 2: Convert to fraction form
    154,493.64/231,828.12 = 83,415.32/x
  3. Step 3: Cross multiply
    154,493.64x = 231,828.12 × 83,415.32
  4. Step 4: Simplify right side
    154,493.64x = 19,338,016,814.80
  5. Step 5: Solve for x
    x = 19,338,016,814.80/154,493.64
  6. Step 6: Final answer
    x = 125,170.31

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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.