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Finding the Fourth Proportional to 129,415.44, 194,169.87 and 45,188.01

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Solution

The fourth proportional to 129,415.44, 194,169.87 and 45,188.01 is: 67,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,415.44 : 194,169.87 = 45,188.01 : x
  2. Step 2: Convert to fraction form
    129,415.44/194,169.87 = 45,188.01/x
  3. Step 3: Cross multiply
    129,415.44x = 194,169.87 × 45,188.01
  4. Step 4: Simplify right side
    129,415.44x = 8,774,149,801.32
  5. Step 5: Solve for x
    x = 8,774,149,801.32/129,415.44
  6. Step 6: Final answer
    x = 67,798.32

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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.