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Finding the Fourth Proportional to 71,776.69, 99,051.84 and 39,947.65

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Solution

The fourth proportional to 71,776.69, 99,051.84 and 39,947.65 is: 55,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776.69 : 99,051.84 = 39,947.65 : x
  2. Step 2: Convert to fraction form
    71,776.69/99,051.84 = 39,947.65/x
  3. Step 3: Cross multiply
    71,776.69x = 99,051.84 × 39,947.65
  4. Step 4: Simplify right side
    71,776.69x = 3,956,887,988.55
  5. Step 5: Solve for x
    x = 3,956,887,988.55/71,776.69
  6. Step 6: Final answer
    x = 55,127.76

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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.