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Finding the Fourth Proportional to 51,135.30, 76,702.95 and 13,695.30

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Solution

The fourth proportional to 51,135.30, 76,702.95 and 13,695.30 is: 20,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135.30 : 76,702.95 = 13,695.30 : x
  2. Step 2: Convert to fraction form
    51,135.30/76,702.95 = 13,695.30/x
  3. Step 3: Cross multiply
    51,135.30x = 76,702.95 × 13,695.30
  4. Step 4: Simplify right side
    51,135.30x = 1,050,469,911.14
  5. Step 5: Solve for x
    x = 1,050,469,911.14/51,135.30
  6. Step 6: Final answer
    x = 20,542.95

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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.