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Finding the Fourth Proportional to 61,783, 92,675.32 and 20,230

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Solution

The fourth proportional to 61,783, 92,675.32 and 20,230 is: 30,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,783 : 92,675.32 = 20,230 : x
  2. Step 2: Convert to fraction form
    61,783/92,675.32 = 20,230/x
  3. Step 3: Cross multiply
    61,783x = 92,675.32 × 20,230
  4. Step 4: Simplify right side
    61,783x = 1,874,821,723.60
  5. Step 5: Solve for x
    x = 1,874,821,723.60/61,783
  6. Step 6: Final answer
    x = 30,345.27

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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.