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Finding the Fourth Proportional to 61.88, 92.40 and 50.43

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Solution

The fourth proportional to 61.88, 92.40 and 50.43 is: 75.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.88 : 92.40 = 50.43 : x
  2. Step 2: Convert to fraction form
    61.88/92.40 = 50.43/x
  3. Step 3: Cross multiply
    61.88x = 92.40 × 50.43
  4. Step 4: Simplify right side
    61.88x = 4,659.89
  5. Step 5: Solve for x
    x = 4,659.89/61.88
  6. Step 6: Final answer
    x = 75.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.