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Finding the Fourth Proportional to 132,970.56, 199,455.84 and 105,288

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Solution

The fourth proportional to 132,970.56, 199,455.84 and 105,288 is: 157,932

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,970.56 : 199,455.84 = 105,288 : x
  2. Step 2: Convert to fraction form
    132,970.56/199,455.84 = 105,288/x
  3. Step 3: Cross multiply
    132,970.56x = 199,455.84 × 105,288
  4. Step 4: Simplify right side
    132,970.56x = 21,000,306,481.92
  5. Step 5: Solve for x
    x = 21,000,306,481.92/132,970.56
  6. Step 6: Final answer
    x = 157,932

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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.