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Finding the Fourth Proportional to 111,638.40, 167,314.92 and 52,343.28

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Solution

The fourth proportional to 111,638.40, 167,314.92 and 52,343.28 is: 78,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,638.40 : 167,314.92 = 52,343.28 : x
  2. Step 2: Convert to fraction form
    111,638.40/167,314.92 = 52,343.28/x
  3. Step 3: Cross multiply
    111,638.40x = 167,314.92 × 52,343.28
  4. Step 4: Simplify right side
    111,638.40x = 8,757,811,705.74
  5. Step 5: Solve for x
    x = 8,757,811,705.74/111,638.40
  6. Step 6: Final answer
    x = 78,448.02

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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.