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Finding the Fourth Proportional to 185,640.94, 256,184.74 and 100,758

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Solution

The fourth proportional to 185,640.94, 256,184.74 and 100,758 is: 139,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,640.94 : 256,184.74 = 100,758 : x
  2. Step 2: Convert to fraction form
    185,640.94/256,184.74 = 100,758/x
  3. Step 3: Cross multiply
    185,640.94x = 256,184.74 × 100,758
  4. Step 4: Simplify right side
    185,640.94x = 25,812,662,032.92
  5. Step 5: Solve for x
    x = 25,812,662,032.92/185,640.94
  6. Step 6: Final answer
    x = 139,046.17

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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.