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Finding the Fourth Proportional to 135,096.67, 186,421.20 and 77,720.71

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Solution

The fourth proportional to 135,096.67, 186,421.20 and 77,720.71 is: 107,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,096.67 : 186,421.20 = 77,720.71 : x
  2. Step 2: Convert to fraction form
    135,096.67/186,421.20 = 77,720.71/x
  3. Step 3: Cross multiply
    135,096.67x = 186,421.20 × 77,720.71
  4. Step 4: Simplify right side
    135,096.67x = 14,488,788,023.05
  5. Step 5: Solve for x
    x = 14,488,788,023.05/135,096.67
  6. Step 6: Final answer
    x = 107,247.56

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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.