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Finding the Fourth Proportional to 51,805.32, 77,707.98 and 20,640.84

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Solution

The fourth proportional to 51,805.32, 77,707.98 and 20,640.84 is: 30,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.32 : 77,707.98 = 20,640.84 : x
  2. Step 2: Convert to fraction form
    51,805.32/77,707.98 = 20,640.84/x
  3. Step 3: Cross multiply
    51,805.32x = 77,707.98 × 20,640.84
  4. Step 4: Simplify right side
    51,805.32x = 1,603,957,981.90
  5. Step 5: Solve for x
    x = 1,603,957,981.90/51,805.32
  6. Step 6: Final answer
    x = 30,961.26

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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.