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Finding the Fourth Proportional to 82,805.40, 124,212.90 and 23,645.40

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Solution

The fourth proportional to 82,805.40, 124,212.90 and 23,645.40 is: 35,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805.40 : 124,212.90 = 23,645.40 : x
  2. Step 2: Convert to fraction form
    82,805.40/124,212.90 = 23,645.40/x
  3. Step 3: Cross multiply
    82,805.40x = 124,212.90 × 23,645.40
  4. Step 4: Simplify right side
    82,805.40x = 2,937,063,705.66
  5. Step 5: Solve for x
    x = 2,937,063,705.66/82,805.40
  6. Step 6: Final answer
    x = 35,469.47

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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.