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Finding the Fourth Proportional to 260,393.73, 390,738.12 and 102,732.90

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Solution

The fourth proportional to 260,393.73, 390,738.12 and 102,732.90 is: 154,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,393.73 : 390,738.12 = 102,732.90 : x
  2. Step 2: Convert to fraction form
    260,393.73/390,738.12 = 102,732.90/x
  3. Step 3: Cross multiply
    260,393.73x = 390,738.12 × 102,732.90
  4. Step 4: Simplify right side
    260,393.73x = 40,141,660,208.15
  5. Step 5: Solve for x
    x = 40,141,660,208.15/260,393.73
  6. Step 6: Final answer
    x = 154,157.55

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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.