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Finding the Fourth Proportional to 77,958.72, 107,511.30 and 51,091.47

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Solution

The fourth proportional to 77,958.72, 107,511.30 and 51,091.47 is: 70,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958.72 : 107,511.30 = 51,091.47 : x
  2. Step 2: Convert to fraction form
    77,958.72/107,511.30 = 51,091.47/x
  3. Step 3: Cross multiply
    77,958.72x = 107,511.30 × 51,091.47
  4. Step 4: Simplify right side
    77,958.72x = 5,492,910,358.61
  5. Step 5: Solve for x
    x = 5,492,910,358.61/77,958.72
  6. Step 6: Final answer
    x = 70,459.22

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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.