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Finding the Fourth Proportional to 128,502.86, 177,309.32 and 83,174.54

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Solution

The fourth proportional to 128,502.86, 177,309.32 and 83,174.54 is: 114,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,502.86 : 177,309.32 = 83,174.54 : x
  2. Step 2: Convert to fraction form
    128,502.86/177,309.32 = 83,174.54/x
  3. Step 3: Cross multiply
    128,502.86x = 177,309.32 × 83,174.54
  4. Step 4: Simplify right side
    128,502.86x = 14,747,619,826.29
  5. Step 5: Solve for x
    x = 14,747,619,826.29/128,502.86
  6. Step 6: Final answer
    x = 114,764.92

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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.