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Finding the Fourth Proportional to 128,502.72, 177,309.15 and 83,174.41

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Solution

The fourth proportional to 128,502.72, 177,309.15 and 83,174.41 is: 114,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,502.72 : 177,309.15 = 83,174.41 : x
  2. Step 2: Convert to fraction form
    128,502.72/177,309.15 = 83,174.41/x
  3. Step 3: Cross multiply
    128,502.72x = 177,309.15 × 83,174.41
  4. Step 4: Simplify right side
    128,502.72x = 14,747,583,938.85
  5. Step 5: Solve for x
    x = 14,747,583,938.85/128,502.72
  6. Step 6: Final answer
    x = 114,764.76

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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.