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Finding the Fourth Proportional to 129,357.68, 194,068.81 and 45,119.05

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Solution

The fourth proportional to 129,357.68, 194,068.81 and 45,119.05 is: 67,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,357.68 : 194,068.81 = 45,119.05 : x
  2. Step 2: Convert to fraction form
    129,357.68/194,068.81 = 45,119.05/x
  3. Step 3: Cross multiply
    129,357.68x = 194,068.81 × 45,119.05
  4. Step 4: Simplify right side
    129,357.68x = 8,756,199,913.06
  5. Step 5: Solve for x
    x = 8,756,199,913.06/129,357.68
  6. Step 6: Final answer
    x = 67,689.84

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1.5x scale

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.