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Finding the Fourth Proportional to 13,777,714.80, 20,617,583.40 and 12,000,121.20

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Solution

The fourth proportional to 13,777,714.80, 20,617,583.40 and 12,000,121.20 is: 17,957,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777,714.80 : 20,617,583.40 = 12,000,121.20 : x
  2. Step 2: Convert to fraction form
    13,777,714.80/20,617,583.40 = 12,000,121.20/x
  3. Step 3: Cross multiply
    13,777,714.80x = 20,617,583.40 × 12,000,121.20
  4. Step 4: Simplify right side
    13,777,714.80x = 247,413,499,651,108.03
  5. Step 5: Solve for x
    x = 247,413,499,651,108.03/13,777,714.80
  6. Step 6: Final answer
    x = 17,957,513.51

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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.