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Finding the Fourth Proportional to 74,625.80, 111,938.02 and 30,242

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Solution

The fourth proportional to 74,625.80, 111,938.02 and 30,242 is: 45,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,625.80 : 111,938.02 = 30,242 : x
  2. Step 2: Convert to fraction form
    74,625.80/111,938.02 = 30,242/x
  3. Step 3: Cross multiply
    74,625.80x = 111,938.02 × 30,242
  4. Step 4: Simplify right side
    74,625.80x = 3,385,229,600.84
  5. Step 5: Solve for x
    x = 3,385,229,600.84/74,625.80
  6. Step 6: Final answer
    x = 45,362.72

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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.