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Finding the Fourth Proportional to 129,905.60, 194,809.80 and 45,633.20

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Solution

The fourth proportional to 129,905.60, 194,809.80 and 45,633.20 is: 68,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,905.60 : 194,809.80 = 45,633.20 : x
  2. Step 2: Convert to fraction form
    129,905.60/194,809.80 = 45,633.20/x
  3. Step 3: Cross multiply
    129,905.60x = 194,809.80 × 45,633.20
  4. Step 4: Simplify right side
    129,905.60x = 8,889,794,565.36
  5. Step 5: Solve for x
    x = 8,889,794,565.36/129,905.60
  6. Step 6: Final answer
    x = 68,432.73

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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.