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Finding the Fourth Proportional to 50,686, 76,029.28 and 13,750

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Solution

The fourth proportional to 50,686, 76,029.28 and 13,750 is: 20,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,686 : 76,029.28 = 13,750 : x
  2. Step 2: Convert to fraction form
    50,686/76,029.28 = 13,750/x
  3. Step 3: Cross multiply
    50,686x = 76,029.28 × 13,750
  4. Step 4: Simplify right side
    50,686x = 1,045,402,600
  5. Step 5: Solve for x
    x = 1,045,402,600/50,686
  6. Step 6: Final answer
    x = 20,625.08

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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.