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Finding the Fourth Proportional to 103,291.88, 154,912.31 and 28,408.40

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Solution

The fourth proportional to 103,291.88, 154,912.31 and 28,408.40 is: 42,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,291.88 : 154,912.31 = 28,408.40 : x
  2. Step 2: Convert to fraction form
    103,291.88/154,912.31 = 28,408.40/x
  3. Step 3: Cross multiply
    103,291.88x = 154,912.31 × 28,408.40
  4. Step 4: Simplify right side
    103,291.88x = 4,400,810,867.40
  5. Step 5: Solve for x
    x = 4,400,810,867.40/103,291.88
  6. Step 6: Final answer
    x = 42,605.58

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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.