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Finding the Fourth Proportional to 185,640, 256,181.76 and 100,757.28

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Solution

The fourth proportional to 185,640, 256,181.76 and 100,757.28 is: 139,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,640 : 256,181.76 = 100,757.28 : x
  2. Step 2: Convert to fraction form
    185,640/256,181.76 = 100,757.28/x
  3. Step 3: Cross multiply
    185,640x = 256,181.76 × 100,757.28
  4. Step 4: Simplify right side
    185,640x = 25,812,177,323.21
  5. Step 5: Solve for x
    x = 25,812,177,323.21/185,640
  6. Step 6: Final answer
    x = 139,044.26

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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.