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Finding the Fourth Proportional to 242,687.54, 363,745.38 and 109,411.76

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Solution

The fourth proportional to 242,687.54, 363,745.38 and 109,411.76 is: 163,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,687.54 : 363,745.38 = 109,411.76 : x
  2. Step 2: Convert to fraction form
    242,687.54/363,745.38 = 109,411.76/x
  3. Step 3: Cross multiply
    242,687.54x = 363,745.38 × 109,411.76
  4. Step 4: Simplify right side
    242,687.54x = 39,798,023,537.33
  5. Step 5: Solve for x
    x = 39,798,023,537.33/242,687.54
  6. Step 6: Final answer
    x = 163,988.74

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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.