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Finding the Fourth Proportional to 32,086.40, 48,129.60 and 20,276.60

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Solution

The fourth proportional to 32,086.40, 48,129.60 and 20,276.60 is: 30,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.40 : 48,129.60 = 20,276.60 : x
  2. Step 2: Convert to fraction form
    32,086.40/48,129.60 = 20,276.60/x
  3. Step 3: Cross multiply
    32,086.40x = 48,129.60 × 20,276.60
  4. Step 4: Simplify right side
    32,086.40x = 975,904,647.36
  5. Step 5: Solve for x
    x = 975,904,647.36/32,086.40
  6. Step 6: Final answer
    x = 30,414.90

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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.