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Finding the Fourth Proportional to 208,659.70, 313,317.60 and 120,086.20

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Solution

The fourth proportional to 208,659.70, 313,317.60 and 120,086.20 is: 180,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,659.70 : 313,317.60 = 120,086.20 : x
  2. Step 2: Convert to fraction form
    208,659.70/313,317.60 = 120,086.20/x
  3. Step 3: Cross multiply
    208,659.70x = 313,317.60 × 120,086.20
  4. Step 4: Simplify right side
    208,659.70x = 37,625,119,977.12
  5. Step 5: Solve for x
    x = 37,625,119,977.12/208,659.70
  6. Step 6: Final answer
    x = 180,318.10

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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.