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Finding the Fourth Proportional to 109,961.40, 164,870.10 and 43,361.40

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Solution

The fourth proportional to 109,961.40, 164,870.10 and 43,361.40 is: 65,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,961.40 : 164,870.10 = 43,361.40 : x
  2. Step 2: Convert to fraction form
    109,961.40/164,870.10 = 43,361.40/x
  3. Step 3: Cross multiply
    109,961.40x = 164,870.10 × 43,361.40
  4. Step 4: Simplify right side
    109,961.40x = 7,148,998,354.14
  5. Step 5: Solve for x
    x = 7,148,998,354.14/109,961.40
  6. Step 6: Final answer
    x = 65,013.71

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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.