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Finding the Fourth Proportional to 77,308.62, 115,926.26 and 29,945.90

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Solution

The fourth proportional to 77,308.62, 115,926.26 and 29,945.90 is: 44,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,308.62 : 115,926.26 = 29,945.90 : x
  2. Step 2: Convert to fraction form
    77,308.62/115,926.26 = 29,945.90/x
  3. Step 3: Cross multiply
    77,308.62x = 115,926.26 × 29,945.90
  4. Step 4: Simplify right side
    77,308.62x = 3,471,515,459.97
  5. Step 5: Solve for x
    x = 3,471,515,459.97/77,308.62
  6. Step 6: Final answer
    x = 44,904.64

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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.