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Finding the Fourth Proportional to 185,642.94, 256,187.50 and 100,760

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Solution

The fourth proportional to 185,642.94, 256,187.50 and 100,760 is: 139,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,642.94 : 256,187.50 = 100,760 : x
  2. Step 2: Convert to fraction form
    185,642.94/256,187.50 = 100,760/x
  3. Step 3: Cross multiply
    185,642.94x = 256,187.50 × 100,760
  4. Step 4: Simplify right side
    185,642.94x = 25,813,452,500
  5. Step 5: Solve for x
    x = 25,813,452,500/185,642.94
  6. Step 6: Final answer
    x = 139,048.93

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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.