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Finding the Fourth Proportional to 281,139.75, 421,710.03 and 114,927.75

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Solution

The fourth proportional to 281,139.75, 421,710.03 and 114,927.75 is: 172,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,139.75 : 421,710.03 = 114,927.75 : x
  2. Step 2: Convert to fraction form
    281,139.75/421,710.03 = 114,927.75/x
  3. Step 3: Cross multiply
    281,139.75x = 421,710.03 × 114,927.75
  4. Step 4: Simplify right side
    281,139.75x = 48,466,184,900.33
  5. Step 5: Solve for x
    x = 48,466,184,900.33/281,139.75
  6. Step 6: Final answer
    x = 172,391.79

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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.