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Finding the Fourth Proportional to 71,806.98, 99,095.16 and 39,977.94

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Solution

The fourth proportional to 71,806.98, 99,095.16 and 39,977.94 is: 55,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,806.98 : 99,095.16 = 39,977.94 : x
  2. Step 2: Convert to fraction form
    71,806.98/99,095.16 = 39,977.94/x
  3. Step 3: Cross multiply
    71,806.98x = 99,095.16 × 39,977.94
  4. Step 4: Simplify right side
    71,806.98x = 3,961,620,360.77
  5. Step 5: Solve for x
    x = 3,961,620,360.77/71,806.98
  6. Step 6: Final answer
    x = 55,170.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.