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Finding the Fourth Proportional to 51,729, 71,386.11 and 29,373

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Solution

The fourth proportional to 51,729, 71,386.11 and 29,373 is: 40,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,729 : 71,386.11 = 29,373 : x
  2. Step 2: Convert to fraction form
    51,729/71,386.11 = 29,373/x
  3. Step 3: Cross multiply
    51,729x = 71,386.11 × 29,373
  4. Step 4: Simplify right side
    51,729x = 2,096,824,209.03
  5. Step 5: Solve for x
    x = 2,096,824,209.03/51,729
  6. Step 6: Final answer
    x = 40,534.79

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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.