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Finding the Fourth Proportional to 68,385.20, 102,567.54 and 21,632

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Solution

The fourth proportional to 68,385.20, 102,567.54 and 21,632 is: 32,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,385.20 : 102,567.54 = 21,632 : x
  2. Step 2: Convert to fraction form
    68,385.20/102,567.54 = 21,632/x
  3. Step 3: Cross multiply
    68,385.20x = 102,567.54 × 21,632
  4. Step 4: Simplify right side
    68,385.20x = 2,218,741,025.28
  5. Step 5: Solve for x
    x = 2,218,741,025.28/68,385.20
  6. Step 6: Final answer
    x = 32,444.75

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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.