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Finding the Fourth Proportional to 109,818.69, 164,745.11 and 38,750.77

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Solution

The fourth proportional to 109,818.69, 164,745.11 and 38,750.77 is: 58,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,818.69 : 164,745.11 = 38,750.77 : x
  2. Step 2: Convert to fraction form
    109,818.69/164,745.11 = 38,750.77/x
  3. Step 3: Cross multiply
    109,818.69x = 164,745.11 × 38,750.77
  4. Step 4: Simplify right side
    109,818.69x = 6,383,999,866.23
  5. Step 5: Solve for x
    x = 6,383,999,866.23/109,818.69
  6. Step 6: Final answer
    x = 58,132.18

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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.