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Finding the Fourth Proportional to 53,714.20, 80,474.10 and 32,913.40

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Solution

The fourth proportional to 53,714.20, 80,474.10 and 32,913.40 is: 49,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,714.20 : 80,474.10 = 32,913.40 : x
  2. Step 2: Convert to fraction form
    53,714.20/80,474.10 = 32,913.40/x
  3. Step 3: Cross multiply
    53,714.20x = 80,474.10 × 32,913.40
  4. Step 4: Simplify right side
    53,714.20x = 2,648,676,242.94
  5. Step 5: Solve for x
    x = 2,648,676,242.94/53,714.20
  6. Step 6: Final answer
    x = 49,310.54

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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.