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Finding the Fourth Proportional to 71,822.84, 99,113.76 and 39,991.08

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Solution

The fourth proportional to 71,822.84, 99,113.76 and 39,991.08 is: 55,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,822.84 : 99,113.76 = 39,991.08 : x
  2. Step 2: Convert to fraction form
    71,822.84/99,113.76 = 39,991.08/x
  3. Step 3: Cross multiply
    71,822.84x = 99,113.76 × 39,991.08
  4. Step 4: Simplify right side
    71,822.84x = 3,963,666,305.26
  5. Step 5: Solve for x
    x = 3,963,666,305.26/71,822.84
  6. Step 6: Final answer
    x = 55,186.71

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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.