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Finding the Fourth Proportional to 128,793.57, 177,580.67 and 83,455.01

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Solution

The fourth proportional to 128,793.57, 177,580.67 and 83,455.01 is: 115,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,793.57 : 177,580.67 = 83,455.01 : x
  2. Step 2: Convert to fraction form
    128,793.57/177,580.67 = 83,455.01/x
  3. Step 3: Cross multiply
    128,793.57x = 177,580.67 × 83,455.01
  4. Step 4: Simplify right side
    128,793.57x = 14,819,995,285.48
  5. Step 5: Solve for x
    x = 14,819,995,285.48/128,793.57
  6. Step 6: Final answer
    x = 115,067.82

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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.