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Finding the Fourth Proportional to 40,714.80, 61,079.76 and 14,412.48

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Solution

The fourth proportional to 40,714.80, 61,079.76 and 14,412.48 is: 21,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,714.80 : 61,079.76 = 14,412.48 : x
  2. Step 2: Convert to fraction form
    40,714.80/61,079.76 = 14,412.48/x
  3. Step 3: Cross multiply
    40,714.80x = 61,079.76 × 14,412.48
  4. Step 4: Simplify right side
    40,714.80x = 880,310,819.40
  5. Step 5: Solve for x
    x = 880,310,819.40/40,714.80
  6. Step 6: Final answer
    x = 21,621.40

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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.