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Finding the Fourth Proportional to 129,908.40, 194,924.13 and 89,988.84

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Solution

The fourth proportional to 129,908.40, 194,924.13 and 89,988.84 is: 135,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,908.40 : 194,924.13 = 89,988.84 : x
  2. Step 2: Convert to fraction form
    129,908.40/194,924.13 = 89,988.84/x
  3. Step 3: Cross multiply
    129,908.40x = 194,924.13 × 89,988.84
  4. Step 4: Simplify right side
    129,908.40x = 17,540,996,346.71
  5. Step 5: Solve for x
    x = 17,540,996,346.71/129,908.40
  6. Step 6: Final answer
    x = 135,025.88

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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.