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Finding the Fourth Proportional to 128,815.42, 177,768.13 and 71,452.87

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Solution

The fourth proportional to 128,815.42, 177,768.13 and 71,452.87 is: 98,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,815.42 : 177,768.13 = 71,452.87 : x
  2. Step 2: Convert to fraction form
    128,815.42/177,768.13 = 71,452.87/x
  3. Step 3: Cross multiply
    128,815.42x = 177,768.13 × 71,452.87
  4. Step 4: Simplify right side
    128,815.42x = 12,702,043,293.67
  5. Step 5: Solve for x
    x = 12,702,043,293.67/128,815.42
  6. Step 6: Final answer
    x = 98,606.54

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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.