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Finding the Fourth Proportional to 61,857, 92,786.04 and 20,304

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Solution

The fourth proportional to 61,857, 92,786.04 and 20,304 is: 30,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,857 : 92,786.04 = 20,304 : x
  2. Step 2: Convert to fraction form
    61,857/92,786.04 = 20,304/x
  3. Step 3: Cross multiply
    61,857x = 92,786.04 × 20,304
  4. Step 4: Simplify right side
    61,857x = 1,883,927,756.16
  5. Step 5: Solve for x
    x = 1,883,927,756.16/61,857
  6. Step 6: Final answer
    x = 30,456.18

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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.