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Finding the Fourth Proportional to 135,462.44, 186,922.20 and 78,101.12

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Solution

The fourth proportional to 135,462.44, 186,922.20 and 78,101.12 is: 107,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,462.44 : 186,922.20 = 78,101.12 : x
  2. Step 2: Convert to fraction form
    135,462.44/186,922.20 = 78,101.12/x
  3. Step 3: Cross multiply
    135,462.44x = 186,922.20 × 78,101.12
  4. Step 4: Simplify right side
    135,462.44x = 14,598,833,172.86
  5. Step 5: Solve for x
    x = 14,598,833,172.86/135,462.44
  6. Step 6: Final answer
    x = 107,770.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.