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Finding the Fourth Proportional to 54,965.50, 75,852.42 and 29,815

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Solution

The fourth proportional to 54,965.50, 75,852.42 and 29,815 is: 41,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965.50 : 75,852.42 = 29,815 : x
  2. Step 2: Convert to fraction form
    54,965.50/75,852.42 = 29,815/x
  3. Step 3: Cross multiply
    54,965.50x = 75,852.42 × 29,815
  4. Step 4: Simplify right side
    54,965.50x = 2,261,539,902.30
  5. Step 5: Solve for x
    x = 2,261,539,902.30/54,965.50
  6. Step 6: Final answer
    x = 41,144.72

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1.5x scale

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.