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Finding the Fourth Proportional to 281,135.93, 421,703.90 and 81,456.44

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Solution

The fourth proportional to 281,135.93, 421,703.90 and 81,456.44 is: 122,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,135.93 : 421,703.90 = 81,456.44 : x
  2. Step 2: Convert to fraction form
    281,135.93/421,703.90 = 81,456.44/x
  3. Step 3: Cross multiply
    281,135.93x = 421,703.90 × 81,456.44
  4. Step 4: Simplify right side
    281,135.93x = 34,350,499,686.02
  5. Step 5: Solve for x
    x = 34,350,499,686.02/281,135.93
  6. Step 6: Final answer
    x = 122,184.67

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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.