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Finding the Fourth Proportional to 223,363.28, 308,232.86 and 127,878.86

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Solution

The fourth proportional to 223,363.28, 308,232.86 and 127,878.86 is: 176,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,363.28 : 308,232.86 = 127,878.86 : x
  2. Step 2: Convert to fraction form
    223,363.28/308,232.86 = 127,878.86/x
  3. Step 3: Cross multiply
    223,363.28x = 308,232.86 × 127,878.86
  4. Step 4: Simplify right side
    223,363.28x = 39,416,466,751.34
  5. Step 5: Solve for x
    x = 39,416,466,751.34/223,363.28
  6. Step 6: Final answer
    x = 176,467.98

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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.