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Finding the Fourth Proportional to 85,458.31, 128,162.76 and 32,855.29

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Solution

The fourth proportional to 85,458.31, 128,162.76 and 32,855.29 is: 49,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,458.31 : 128,162.76 = 32,855.29 : x
  2. Step 2: Convert to fraction form
    85,458.31/128,162.76 = 32,855.29/x
  3. Step 3: Cross multiply
    85,458.31x = 128,162.76 × 32,855.29
  4. Step 4: Simplify right side
    85,458.31x = 4,210,824,203.39
  5. Step 5: Solve for x
    x = 4,210,824,203.39/85,458.31
  6. Step 6: Final answer
    x = 49,273.43

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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.