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Finding the Fourth Proportional to 82,587.56, 123,881.34 and 33,305

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Solution

The fourth proportional to 82,587.56, 123,881.34 and 33,305 is: 49,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,587.56 : 123,881.34 = 33,305 : x
  2. Step 2: Convert to fraction form
    82,587.56/123,881.34 = 33,305/x
  3. Step 3: Cross multiply
    82,587.56x = 123,881.34 × 33,305
  4. Step 4: Simplify right side
    82,587.56x = 4,125,868,028.70
  5. Step 5: Solve for x
    x = 4,125,868,028.70/82,587.56
  6. Step 6: Final answer
    x = 49,957.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.