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Finding the Fourth Proportional to 68,549.38, 102,785.86 and 21,151.01

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Solution

The fourth proportional to 68,549.38, 102,785.86 and 21,151.01 is: 31,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,549.38 : 102,785.86 = 21,151.01 : x
  2. Step 2: Convert to fraction form
    68,549.38/102,785.86 = 21,151.01/x
  3. Step 3: Cross multiply
    68,549.38x = 102,785.86 × 21,151.01
  4. Step 4: Simplify right side
    68,549.38x = 2,174,024,752.72
  5. Step 5: Solve for x
    x = 2,174,024,752.72/68,549.38
  6. Step 6: Final answer
    x = 31,714.73

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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.