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Finding the Fourth Proportional to 129,659.76, 194,407.80 and 54,741.12

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Solution

The fourth proportional to 129,659.76, 194,407.80 and 54,741.12 is: 82,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,659.76 : 194,407.80 = 54,741.12 : x
  2. Step 2: Convert to fraction form
    129,659.76/194,407.80 = 54,741.12/x
  3. Step 3: Cross multiply
    129,659.76x = 194,407.80 × 54,741.12
  4. Step 4: Simplify right side
    129,659.76x = 10,642,100,708.74
  5. Step 5: Solve for x
    x = 10,642,100,708.74/129,659.76
  6. Step 6: Final answer
    x = 82,077.13

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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.