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Finding the Fourth Proportional to 129,856.40, 194,784.60 and 85,619.60

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Solution

The fourth proportional to 129,856.40, 194,784.60 and 85,619.60 is: 128,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,856.40 : 194,784.60 = 85,619.60 : x
  2. Step 2: Convert to fraction form
    129,856.40/194,784.60 = 85,619.60/x
  3. Step 3: Cross multiply
    129,856.40x = 194,784.60 × 85,619.60
  4. Step 4: Simplify right side
    129,856.40x = 16,677,379,538.16
  5. Step 5: Solve for x
    x = 16,677,379,538.16/129,856.40
  6. Step 6: Final answer
    x = 128,429.40

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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.