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Finding the Fourth Proportional to 136,242.54, 188,017.20 and 75,815.73

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Solution

The fourth proportional to 136,242.54, 188,017.20 and 75,815.73 is: 104,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,242.54 : 188,017.20 = 75,815.73 : x
  2. Step 2: Convert to fraction form
    136,242.54/188,017.20 = 75,815.73/x
  3. Step 3: Cross multiply
    136,242.54x = 188,017.20 × 75,815.73
  4. Step 4: Simplify right side
    136,242.54x = 14,254,661,270.56
  5. Step 5: Solve for x
    x = 14,254,661,270.56/136,242.54
  6. Step 6: Final answer
    x = 104,627.10

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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.