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Finding the Fourth Proportional to 96,829, 145,243.50 and 31,165

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Solution

The fourth proportional to 96,829, 145,243.50 and 31,165 is: 46,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,829 : 145,243.50 = 31,165 : x
  2. Step 2: Convert to fraction form
    96,829/145,243.50 = 31,165/x
  3. Step 3: Cross multiply
    96,829x = 145,243.50 × 31,165
  4. Step 4: Simplify right side
    96,829x = 4,526,513,677.50
  5. Step 5: Solve for x
    x = 4,526,513,677.50/96,829
  6. Step 6: Final answer
    x = 46,747.50

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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.