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Finding the Fourth Proportional to 102,361.42, 153,469.41 and 39,128.28

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Solution

The fourth proportional to 102,361.42, 153,469.41 and 39,128.28 is: 58,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,361.42 : 153,469.41 = 39,128.28 : x
  2. Step 2: Convert to fraction form
    102,361.42/153,469.41 = 39,128.28/x
  3. Step 3: Cross multiply
    102,361.42x = 153,469.41 × 39,128.28
  4. Step 4: Simplify right side
    102,361.42x = 6,004,994,045.91
  5. Step 5: Solve for x
    x = 6,004,994,045.91/102,361.42
  6. Step 6: Final answer
    x = 58,664.62

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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.