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Finding the Fourth Proportional to 150,686, 226,033.36 and 39,878

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Solution

The fourth proportional to 150,686, 226,033.36 and 39,878 is: 59,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,686 : 226,033.36 = 39,878 : x
  2. Step 2: Convert to fraction form
    150,686/226,033.36 = 39,878/x
  3. Step 3: Cross multiply
    150,686x = 226,033.36 × 39,878
  4. Step 4: Simplify right side
    150,686x = 9,013,758,330.08
  5. Step 5: Solve for x
    x = 9,013,758,330.08/150,686
  6. Step 6: Final answer
    x = 59,818.15

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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.