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Finding the Fourth Proportional to 307,537.92, 461,383.68 and 85,920

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Solution

The fourth proportional to 307,537.92, 461,383.68 and 85,920 is: 128,901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,537.92 : 461,383.68 = 85,920 : x
  2. Step 2: Convert to fraction form
    307,537.92/461,383.68 = 85,920/x
  3. Step 3: Cross multiply
    307,537.92x = 461,383.68 × 85,920
  4. Step 4: Simplify right side
    307,537.92x = 39,642,085,785.60
  5. Step 5: Solve for x
    x = 39,642,085,785.60/307,537.92
  6. Step 6: Final answer
    x = 128,901.46

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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.