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Finding the Fourth Proportional to 68,690.94, 103,051.20 and 21,305.10

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Solution

The fourth proportional to 68,690.94, 103,051.20 and 21,305.10 is: 31,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,690.94 : 103,051.20 = 21,305.10 : x
  2. Step 2: Convert to fraction form
    68,690.94/103,051.20 = 21,305.10/x
  3. Step 3: Cross multiply
    68,690.94x = 103,051.20 × 21,305.10
  4. Step 4: Simplify right side
    68,690.94x = 2,195,516,121.12
  5. Step 5: Solve for x
    x = 2,195,516,121.12/68,690.94
  6. Step 6: Final answer
    x = 31,962.24

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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.