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Finding the Fourth Proportional to 74,432, 111,509.34 and 36,949.40

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Solution

The fourth proportional to 74,432, 111,509.34 and 36,949.40 is: 55,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,432 : 111,509.34 = 36,949.40 : x
  2. Step 2: Convert to fraction form
    74,432/111,509.34 = 36,949.40/x
  3. Step 3: Cross multiply
    74,432x = 111,509.34 × 36,949.40
  4. Step 4: Simplify right side
    74,432x = 4,120,203,207.40
  5. Step 5: Solve for x
    x = 4,120,203,207.40/74,432
  6. Step 6: Final answer
    x = 55,355.27

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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.