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Finding the Fourth Proportional to 129,820.70, 194,785.73 and 70,698.80

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Solution

The fourth proportional to 129,820.70, 194,785.73 and 70,698.80 is: 106,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,820.70 : 194,785.73 = 70,698.80 : x
  2. Step 2: Convert to fraction form
    129,820.70/194,785.73 = 70,698.80/x
  3. Step 3: Cross multiply
    129,820.70x = 194,785.73 × 70,698.80
  4. Step 4: Simplify right side
    129,820.70x = 13,771,117,368.12
  5. Step 5: Solve for x
    x = 13,771,117,368.12/129,820.70
  6. Step 6: Final answer
    x = 106,077.98

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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.