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Finding the Fourth Proportional to 90,509.40, 135,764.10 and 65,496.60

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Solution

The fourth proportional to 90,509.40, 135,764.10 and 65,496.60 is: 98,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,509.40 : 135,764.10 = 65,496.60 : x
  2. Step 2: Convert to fraction form
    90,509.40/135,764.10 = 65,496.60/x
  3. Step 3: Cross multiply
    90,509.40x = 135,764.10 × 65,496.60
  4. Step 4: Simplify right side
    90,509.40x = 8,892,086,952.06
  5. Step 5: Solve for x
    x = 8,892,086,952.06/90,509.40
  6. Step 6: Final answer
    x = 98,244.90

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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.