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Finding the Fourth Proportional to 52,107.80, 71,920.56 and 29,459.88

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Solution

The fourth proportional to 52,107.80, 71,920.56 and 29,459.88 is: 40,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.80 : 71,920.56 = 29,459.88 : x
  2. Step 2: Convert to fraction form
    52,107.80/71,920.56 = 29,459.88/x
  3. Step 3: Cross multiply
    52,107.80x = 71,920.56 × 29,459.88
  4. Step 4: Simplify right side
    52,107.80x = 2,118,771,067.13
  5. Step 5: Solve for x
    x = 2,118,771,067.13/52,107.80
  6. Step 6: Final answer
    x = 40,661.31

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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.