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Finding the Fourth Proportional to 68,463.76, 102,695.80 and 18,544.16

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Solution

The fourth proportional to 68,463.76, 102,695.80 and 18,544.16 is: 27,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,463.76 : 102,695.80 = 18,544.16 : x
  2. Step 2: Convert to fraction form
    68,463.76/102,695.80 = 18,544.16/x
  3. Step 3: Cross multiply
    68,463.76x = 102,695.80 × 18,544.16
  4. Step 4: Simplify right side
    68,463.76x = 1,904,407,346.53
  5. Step 5: Solve for x
    x = 1,904,407,346.53/68,463.76
  6. Step 6: Final answer
    x = 27,816.28

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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.