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Finding the Fourth Proportional to 140,077, 193,306.26 and 76,415.05

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Solution

The fourth proportional to 140,077, 193,306.26 and 76,415.05 is: 105,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,077 : 193,306.26 = 76,415.05 : x
  2. Step 2: Convert to fraction form
    140,077/193,306.26 = 76,415.05/x
  3. Step 3: Cross multiply
    140,077x = 193,306.26 × 76,415.05
  4. Step 4: Simplify right side
    140,077x = 14,771,507,523.21
  5. Step 5: Solve for x
    x = 14,771,507,523.21/140,077
  6. Step 6: Final answer
    x = 105,452.77

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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.