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Finding the Fourth Proportional to 185,565.36, 256,079.88 and 100,682.40

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Solution

The fourth proportional to 185,565.36, 256,079.88 and 100,682.40 is: 138,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,565.36 : 256,079.88 = 100,682.40 : x
  2. Step 2: Convert to fraction form
    185,565.36/256,079.88 = 100,682.40/x
  3. Step 3: Cross multiply
    185,565.36x = 256,079.88 × 100,682.40
  4. Step 4: Simplify right side
    185,565.36x = 25,782,736,910.11
  5. Step 5: Solve for x
    x = 25,782,736,910.11/185,565.36
  6. Step 6: Final answer
    x = 138,941.54

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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.