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Finding the Fourth Proportional to 103,742.40, 155,613.60 and 92,661.60

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Solution

The fourth proportional to 103,742.40, 155,613.60 and 92,661.60 is: 138,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,742.40 : 155,613.60 = 92,661.60 : x
  2. Step 2: Convert to fraction form
    103,742.40/155,613.60 = 92,661.60/x
  3. Step 3: Cross multiply
    103,742.40x = 155,613.60 × 92,661.60
  4. Step 4: Simplify right side
    103,742.40x = 14,419,405,157.76
  5. Step 5: Solve for x
    x = 14,419,405,157.76/103,742.40
  6. Step 6: Final answer
    x = 138,992.40

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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.