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Finding the Fourth Proportional to 154,648.80, 231,973.20 and 54,808.20

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Solution

The fourth proportional to 154,648.80, 231,973.20 and 54,808.20 is: 82,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,648.80 : 231,973.20 = 54,808.20 : x
  2. Step 2: Convert to fraction form
    154,648.80/231,973.20 = 54,808.20/x
  3. Step 3: Cross multiply
    154,648.80x = 231,973.20 × 54,808.20
  4. Step 4: Simplify right side
    154,648.80x = 12,714,033,540.24
  5. Step 5: Solve for x
    x = 12,714,033,540.24/154,648.80
  6. Step 6: Final answer
    x = 82,212.30

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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.