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Finding the Fourth Proportional to 74,193.98, 111,199.64 and 42,199.89

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Solution

The fourth proportional to 74,193.98, 111,199.64 and 42,199.89 is: 63,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,193.98 : 111,199.64 = 42,199.89 : x
  2. Step 2: Convert to fraction form
    74,193.98/111,199.64 = 42,199.89/x
  3. Step 3: Cross multiply
    74,193.98x = 111,199.64 × 42,199.89
  4. Step 4: Simplify right side
    74,193.98x = 4,692,612,365.04
  5. Step 5: Solve for x
    x = 4,692,612,365.04/74,193.98
  6. Step 6: Final answer
    x = 63,247.89

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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.