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Finding the Fourth Proportional to 72,930.78, 109,352.43 and 33,438.42

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Solution

The fourth proportional to 72,930.78, 109,352.43 and 33,438.42 is: 50,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,930.78 : 109,352.43 = 33,438.42 : x
  2. Step 2: Convert to fraction form
    72,930.78/109,352.43 = 33,438.42/x
  3. Step 3: Cross multiply
    72,930.78x = 109,352.43 × 33,438.42
  4. Step 4: Simplify right side
    72,930.78x = 3,656,572,482.36
  5. Step 5: Solve for x
    x = 3,656,572,482.36/72,930.78
  6. Step 6: Final answer
    x = 50,137.58

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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.