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Finding the Fourth Proportional to 129,749.60, 194,624.40 and 85,426.40

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Solution

The fourth proportional to 129,749.60, 194,624.40 and 85,426.40 is: 128,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,749.60 : 194,624.40 = 85,426.40 : x
  2. Step 2: Convert to fraction form
    129,749.60/194,624.40 = 85,426.40/x
  3. Step 3: Cross multiply
    129,749.60x = 194,624.40 × 85,426.40
  4. Step 4: Simplify right side
    129,749.60x = 16,626,061,844.16
  5. Step 5: Solve for x
    x = 16,626,061,844.16/129,749.60
  6. Step 6: Final answer
    x = 128,139.60

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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.