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Finding the Fourth Proportional to 223,670.50, 308,673.82 and 128,195.66

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Solution

The fourth proportional to 223,670.50, 308,673.82 and 128,195.66 is: 176,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,670.50 : 308,673.82 = 128,195.66 : x
  2. Step 2: Convert to fraction form
    223,670.50/308,673.82 = 128,195.66/x
  3. Step 3: Cross multiply
    223,670.50x = 308,673.82 × 128,195.66
  4. Step 4: Simplify right side
    223,670.50x = 39,570,645,011.55
  5. Step 5: Solve for x
    x = 39,570,645,011.55/223,670.50
  6. Step 6: Final answer
    x = 176,914.91

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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.