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Finding the Fourth Proportional to 185,774.64, 256,367.88 and 100,890.96

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Solution

The fourth proportional to 185,774.64, 256,367.88 and 100,890.96 is: 139,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,774.64 : 256,367.88 = 100,890.96 : x
  2. Step 2: Convert to fraction form
    185,774.64/256,367.88 = 100,890.96/x
  3. Step 3: Cross multiply
    185,774.64x = 256,367.88 × 100,890.96
  4. Step 4: Simplify right side
    185,774.64x = 25,865,201,526.36
  5. Step 5: Solve for x
    x = 25,865,201,526.36/185,774.64
  6. Step 6: Final answer
    x = 139,228.91

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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.