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Finding the Fourth Proportional to 68,286.65, 102,430.01 and 21,543.17

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Solution

The fourth proportional to 68,286.65, 102,430.01 and 21,543.17 is: 32,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,286.65 : 102,430.01 = 21,543.17 : x
  2. Step 2: Convert to fraction form
    68,286.65/102,430.01 = 21,543.17/x
  3. Step 3: Cross multiply
    68,286.65x = 102,430.01 × 21,543.17
  4. Step 4: Simplify right side
    68,286.65x = 2,206,666,660.24
  5. Step 5: Solve for x
    x = 2,206,666,660.24/68,286.65
  6. Step 6: Final answer
    x = 32,314.76

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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.