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Finding the Fourth Proportional to 101,772, 140,454.08 and 57,068.64

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Solution

The fourth proportional to 101,772, 140,454.08 and 57,068.64 is: 78,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772 : 140,454.08 = 57,068.64 : x
  2. Step 2: Convert to fraction form
    101,772/140,454.08 = 57,068.64/x
  3. Step 3: Cross multiply
    101,772x = 140,454.08 × 57,068.64
  4. Step 4: Simplify right side
    101,772x = 8,015,523,328.05
  5. Step 5: Solve for x
    x = 8,015,523,328.05/101,772
  6. Step 6: Final answer
    x = 78,759.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.