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Finding the Fourth Proportional to 111,886.20, 167,829.30 and 78,643.80

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Solution

The fourth proportional to 111,886.20, 167,829.30 and 78,643.80 is: 117,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,886.20 : 167,829.30 = 78,643.80 : x
  2. Step 2: Convert to fraction form
    111,886.20/167,829.30 = 78,643.80/x
  3. Step 3: Cross multiply
    111,886.20x = 167,829.30 × 78,643.80
  4. Step 4: Simplify right side
    111,886.20x = 13,198,733,903.34
  5. Step 5: Solve for x
    x = 13,198,733,903.34/111,886.20
  6. Step 6: Final answer
    x = 117,965.70

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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.