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Finding the Fourth Proportional to 129,937.60, 194,971.20 and 73,820.80

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Solution

The fourth proportional to 129,937.60, 194,971.20 and 73,820.80 is: 110,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,937.60 : 194,971.20 = 73,820.80 : x
  2. Step 2: Convert to fraction form
    129,937.60/194,971.20 = 73,820.80/x
  3. Step 3: Cross multiply
    129,937.60x = 194,971.20 × 73,820.80
  4. Step 4: Simplify right side
    129,937.60x = 14,392,929,960.96
  5. Step 5: Solve for x
    x = 14,392,929,960.96/129,937.60
  6. Step 6: Final answer
    x = 110,768.01

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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.