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Finding the Fourth Proportional to 172,922.40, 259,383.60 and 102,765.60

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Solution

The fourth proportional to 172,922.40, 259,383.60 and 102,765.60 is: 154,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,922.40 : 259,383.60 = 102,765.60 : x
  2. Step 2: Convert to fraction form
    172,922.40/259,383.60 = 102,765.60/x
  3. Step 3: Cross multiply
    172,922.40x = 259,383.60 × 102,765.60
  4. Step 4: Simplify right side
    172,922.40x = 26,655,711,284.16
  5. Step 5: Solve for x
    x = 26,655,711,284.16/172,922.40
  6. Step 6: Final answer
    x = 154,148.40

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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.