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Finding the Fourth Proportional to 50,128.50, 74,985.02 and 38,192

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Solution

The fourth proportional to 50,128.50, 74,985.02 and 38,192 is: 57,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,128.50 : 74,985.02 = 38,192 : x
  2. Step 2: Convert to fraction form
    50,128.50/74,985.02 = 38,192/x
  3. Step 3: Cross multiply
    50,128.50x = 74,985.02 × 38,192
  4. Step 4: Simplify right side
    50,128.50x = 2,863,827,692.88
  5. Step 5: Solve for x
    x = 2,863,827,692.88/50,128.50
  6. Step 6: Final answer
    x = 57,129.73

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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.