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Finding the Fourth Proportional to 102,686.81, 154,053.90 and 43,524.81

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Solution

The fourth proportional to 102,686.81, 154,053.90 and 43,524.81 is: 65,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.81 : 154,053.90 = 43,524.81 : x
  2. Step 2: Convert to fraction form
    102,686.81/154,053.90 = 43,524.81/x
  3. Step 3: Cross multiply
    102,686.81x = 154,053.90 × 43,524.81
  4. Step 4: Simplify right side
    102,686.81x = 6,705,166,727.26
  5. Step 5: Solve for x
    x = 6,705,166,727.26/102,686.81
  6. Step 6: Final answer
    x = 65,297.26

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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.