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Finding the Fourth Proportional to 61,830, 92,745.72 and 20,278.80

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Solution

The fourth proportional to 61,830, 92,745.72 and 20,278.80 is: 30,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830 : 92,745.72 = 20,278.80 : x
  2. Step 2: Convert to fraction form
    61,830/92,745.72 = 20,278.80/x
  3. Step 3: Cross multiply
    61,830x = 92,745.72 × 20,278.80
  4. Step 4: Simplify right side
    61,830x = 1,880,771,906.74
  5. Step 5: Solve for x
    x = 1,880,771,906.74/61,830
  6. Step 6: Final answer
    x = 30,418.44

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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.