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Finding the Fourth Proportional to 129,741.80, 194,612.70 and 83,047.40

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Solution

The fourth proportional to 129,741.80, 194,612.70 and 83,047.40 is: 124,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,741.80 : 194,612.70 = 83,047.40 : x
  2. Step 2: Convert to fraction form
    129,741.80/194,612.70 = 83,047.40/x
  3. Step 3: Cross multiply
    129,741.80x = 194,612.70 × 83,047.40
  4. Step 4: Simplify right side
    129,741.80x = 16,162,078,741.98
  5. Step 5: Solve for x
    x = 16,162,078,741.98/129,741.80
  6. Step 6: Final answer
    x = 124,571.10

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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.