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Finding the Fourth Proportional to 82,454.80, 113,858.64 and 51,878.89

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Solution

The fourth proportional to 82,454.80, 113,858.64 and 51,878.89 is: 71,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454.80 : 113,858.64 = 51,878.89 : x
  2. Step 2: Convert to fraction form
    82,454.80/113,858.64 = 51,878.89/x
  3. Step 3: Cross multiply
    82,454.80x = 113,858.64 × 51,878.89
  4. Step 4: Simplify right side
    82,454.80x = 5,906,859,296.13
  5. Step 5: Solve for x
    x = 5,906,859,296.13/82,454.80
  6. Step 6: Final answer
    x = 71,637.54

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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.