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Finding the Fourth Proportional to 85,971.22, 128,934.96 and 33,352

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Solution

The fourth proportional to 85,971.22, 128,934.96 and 33,352 is: 50,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,971.22 : 128,934.96 = 33,352 : x
  2. Step 2: Convert to fraction form
    85,971.22/128,934.96 = 33,352/x
  3. Step 3: Cross multiply
    85,971.22x = 128,934.96 × 33,352
  4. Step 4: Simplify right side
    85,971.22x = 4,300,238,785.92
  5. Step 5: Solve for x
    x = 4,300,238,785.92/85,971.22
  6. Step 6: Final answer
    x = 50,019.52

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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.