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Finding the Fourth Proportional to 68,128.48, 102,202.98 and 21,385

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Solution

The fourth proportional to 68,128.48, 102,202.98 and 21,385 is: 32,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,128.48 : 102,202.98 = 21,385 : x
  2. Step 2: Convert to fraction form
    68,128.48/102,202.98 = 21,385/x
  3. Step 3: Cross multiply
    68,128.48x = 102,202.98 × 21,385
  4. Step 4: Simplify right side
    68,128.48x = 2,185,610,727.30
  5. Step 5: Solve for x
    x = 2,185,610,727.30/68,128.48
  6. Step 6: Final answer
    x = 32,080.72

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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.