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Finding the Fourth Proportional to 68,145.52, 102,222.39 and 21,398.40

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Solution

The fourth proportional to 68,145.52, 102,222.39 and 21,398.40 is: 32,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,145.52 : 102,222.39 = 21,398.40 : x
  2. Step 2: Convert to fraction form
    68,145.52/102,222.39 = 21,398.40/x
  3. Step 3: Cross multiply
    68,145.52x = 102,222.39 × 21,398.40
  4. Step 4: Simplify right side
    68,145.52x = 2,187,395,590.18
  5. Step 5: Solve for x
    x = 2,187,395,590.18/68,145.52
  6. Step 6: Final answer
    x = 32,098.89

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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.