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Finding the Fourth Proportional to 102,361.34, 153,628.28 and 43,239.44

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Solution

The fourth proportional to 102,361.34, 153,628.28 and 43,239.44 is: 64,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,361.34 : 153,628.28 = 43,239.44 : x
  2. Step 2: Convert to fraction form
    102,361.34/153,628.28 = 43,239.44/x
  3. Step 3: Cross multiply
    102,361.34x = 153,628.28 × 43,239.44
  4. Step 4: Simplify right side
    102,361.34x = 6,642,801,287.53
  5. Step 5: Solve for x
    x = 6,642,801,287.53/102,361.34
  6. Step 6: Final answer
    x = 64,895.61

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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.