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Finding the Fourth Proportional to 129,700.80, 194,551.20 and 36,206.40

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Solution

The fourth proportional to 129,700.80, 194,551.20 and 36,206.40 is: 54,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,700.80 : 194,551.20 = 36,206.40 : x
  2. Step 2: Convert to fraction form
    129,700.80/194,551.20 = 36,206.40/x
  3. Step 3: Cross multiply
    129,700.80x = 194,551.20 × 36,206.40
  4. Step 4: Simplify right side
    129,700.80x = 7,043,998,567.68
  5. Step 5: Solve for x
    x = 7,043,998,567.68/129,700.80
  6. Step 6: Final answer
    x = 54,309.60

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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.