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Finding the Fourth Proportional to 32,124.80, 48,187.20 and 20,446.40

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Solution

The fourth proportional to 32,124.80, 48,187.20 and 20,446.40 is: 30,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.80 : 48,187.20 = 20,446.40 : x
  2. Step 2: Convert to fraction form
    32,124.80/48,187.20 = 20,446.40/x
  3. Step 3: Cross multiply
    32,124.80x = 48,187.20 × 20,446.40
  4. Step 4: Simplify right side
    32,124.80x = 985,254,766.08
  5. Step 5: Solve for x
    x = 985,254,766.08/32,124.80
  6. Step 6: Final answer
    x = 30,669.60

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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.