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Finding the Fourth Proportional to 172,698.54, 258,672.84 and 83,765.13

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Solution

The fourth proportional to 172,698.54, 258,672.84 and 83,765.13 is: 125,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,698.54 : 258,672.84 = 83,765.13 : x
  2. Step 2: Convert to fraction form
    172,698.54/258,672.84 = 83,765.13/x
  3. Step 3: Cross multiply
    172,698.54x = 258,672.84 × 83,765.13
  4. Step 4: Simplify right side
    172,698.54x = 21,667,764,070.07
  5. Step 5: Solve for x
    x = 21,667,764,070.07/172,698.54
  6. Step 6: Final answer
    x = 125,465.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.