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Finding the Fourth Proportional to 82,838.88, 124,258.31 and 20,509.38

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Solution

The fourth proportional to 82,838.88, 124,258.31 and 20,509.38 is: 30,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.88 : 124,258.31 = 20,509.38 : x
  2. Step 2: Convert to fraction form
    82,838.88/124,258.31 = 20,509.38/x
  3. Step 3: Cross multiply
    82,838.88x = 124,258.31 × 20,509.38
  4. Step 4: Simplify right side
    82,838.88x = 2,548,460,327.93
  5. Step 5: Solve for x
    x = 2,548,460,327.93/82,838.88
  6. Step 6: Final answer
    x = 30,764.06

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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.