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Finding the Fourth Proportional to 12,314,542.80, 18,471,814.20 and 12,146,581.20

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Solution

The fourth proportional to 12,314,542.80, 18,471,814.20 and 12,146,581.20 is: 18,219,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314,542.80 : 18,471,814.20 = 12,146,581.20 : x
  2. Step 2: Convert to fraction form
    12,314,542.80/18,471,814.20 = 12,146,581.20/x
  3. Step 3: Cross multiply
    12,314,542.80x = 18,471,814.20 × 12,146,581.20
  4. Step 4: Simplify right side
    12,314,542.80x = 224,369,391,091,613.03
  5. Step 5: Solve for x
    x = 224,369,391,091,613.03/12,314,542.80
  6. Step 6: Final answer
    x = 18,219,871.80

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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.