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Finding the Fourth Proportional to 129,722.60, 194,255.85 and 103,478.60

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Solution

The fourth proportional to 129,722.60, 194,255.85 and 103,478.60 is: 154,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,722.60 : 194,255.85 = 103,478.60 : x
  2. Step 2: Convert to fraction form
    129,722.60/194,255.85 = 103,478.60/x
  3. Step 3: Cross multiply
    129,722.60x = 194,255.85 × 103,478.60
  4. Step 4: Simplify right side
    129,722.60x = 20,101,323,399.81
  5. Step 5: Solve for x
    x = 20,101,323,399.81/129,722.60
  6. Step 6: Final answer
    x = 154,956.22

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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.