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Finding the Fourth Proportional to 281,050.43, 421,378.47 and 103,534.65

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Solution

The fourth proportional to 281,050.43, 421,378.47 and 103,534.65 is: 155,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,050.43 : 421,378.47 = 103,534.65 : x
  2. Step 2: Convert to fraction form
    281,050.43/421,378.47 = 103,534.65/x
  3. Step 3: Cross multiply
    281,050.43x = 421,378.47 × 103,534.65
  4. Step 4: Simplify right side
    281,050.43x = 43,627,272,408.99
  5. Step 5: Solve for x
    x = 43,627,272,408.99/281,050.43
  6. Step 6: Final answer
    x = 155,229.34

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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.