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Finding the Fourth Proportional to 71,755.20, 107,632.80 and 21,830.85

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Solution

The fourth proportional to 71,755.20, 107,632.80 and 21,830.85 is: 32,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755.20 : 107,632.80 = 21,830.85 : x
  2. Step 2: Convert to fraction form
    71,755.20/107,632.80 = 21,830.85/x
  3. Step 3: Cross multiply
    71,755.20x = 107,632.80 × 21,830.85
  4. Step 4: Simplify right side
    71,755.20x = 2,349,715,511.88
  5. Step 5: Solve for x
    x = 2,349,715,511.88/71,755.20
  6. Step 6: Final answer
    x = 32,746.28

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1.5x scale

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.