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Finding the Fourth Proportional to 71,186.80, 106,755.06 and 31,225.20

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Solution

The fourth proportional to 71,186.80, 106,755.06 and 31,225.20 is: 46,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,186.80 : 106,755.06 = 31,225.20 : x
  2. Step 2: Convert to fraction form
    71,186.80/106,755.06 = 31,225.20/x
  3. Step 3: Cross multiply
    71,186.80x = 106,755.06 × 31,225.20
  4. Step 4: Simplify right side
    71,186.80x = 3,333,447,816.28
  5. Step 5: Solve for x
    x = 3,333,447,816.28/71,186.80
  6. Step 6: Final answer
    x = 46,826.77

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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.