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Finding the Fourth Proportional to 77,820.80, 107,388.30 and 45,992.66

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Solution

The fourth proportional to 77,820.80, 107,388.30 and 45,992.66 is: 63,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820.80 : 107,388.30 = 45,992.66 : x
  2. Step 2: Convert to fraction form
    77,820.80/107,388.30 = 45,992.66/x
  3. Step 3: Cross multiply
    77,820.80x = 107,388.30 × 45,992.66
  4. Step 4: Simplify right side
    77,820.80x = 4,939,073,569.88
  5. Step 5: Solve for x
    x = 4,939,073,569.88/77,820.80
  6. Step 6: Final answer
    x = 63,467.27

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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.