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Finding the Fourth Proportional to 135,478.20, 203,348.46 and 65,406.68

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Solution

The fourth proportional to 135,478.20, 203,348.46 and 65,406.68 is: 98,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,478.20 : 203,348.46 = 65,406.68 : x
  2. Step 2: Convert to fraction form
    135,478.20/203,348.46 = 65,406.68/x
  3. Step 3: Cross multiply
    135,478.20x = 203,348.46 × 65,406.68
  4. Step 4: Simplify right side
    135,478.20x = 13,300,347,651.71
  5. Step 5: Solve for x
    x = 13,300,347,651.71/135,478.20
  6. Step 6: Final answer
    x = 98,173.34

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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.