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Finding the Fourth Proportional to 185,728, 256,304.64 and 106,240

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Solution

The fourth proportional to 185,728, 256,304.64 and 106,240 is: 146,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,728 : 256,304.64 = 106,240 : x
  2. Step 2: Convert to fraction form
    185,728/256,304.64 = 106,240/x
  3. Step 3: Cross multiply
    185,728x = 256,304.64 × 106,240
  4. Step 4: Simplify right side
    185,728x = 27,229,804,953.60
  5. Step 5: Solve for x
    x = 27,229,804,953.60/185,728
  6. Step 6: Final answer
    x = 146,611.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.