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Finding the Fourth Proportional to 135,980.20, 204,043.20 and 57,102.40

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Solution

The fourth proportional to 135,980.20, 204,043.20 and 57,102.40 is: 85,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,980.20 : 204,043.20 = 57,102.40 : x
  2. Step 2: Convert to fraction form
    135,980.20/204,043.20 = 57,102.40/x
  3. Step 3: Cross multiply
    135,980.20x = 204,043.20 × 57,102.40
  4. Step 4: Simplify right side
    135,980.20x = 11,651,356,423.68
  5. Step 5: Solve for x
    x = 11,651,356,423.68/135,980.20
  6. Step 6: Final answer
    x = 85,684.21

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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.