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Finding the Fourth Proportional to 77,157.82, 115,674.44 and 70,930

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Solution

The fourth proportional to 77,157.82, 115,674.44 and 70,930 is: 106,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157.82 : 115,674.44 = 70,930 : x
  2. Step 2: Convert to fraction form
    77,157.82/115,674.44 = 70,930/x
  3. Step 3: Cross multiply
    77,157.82x = 115,674.44 × 70,930
  4. Step 4: Simplify right side
    77,157.82x = 8,204,788,029.20
  5. Step 5: Solve for x
    x = 8,204,788,029.20/77,157.82
  6. Step 6: Final answer
    x = 106,337.74

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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.