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Finding the Fourth Proportional to 77,822.30, 107,390.37 and 45,994.16

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Solution

The fourth proportional to 77,822.30, 107,390.37 and 45,994.16 is: 63,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,822.30 : 107,390.37 = 45,994.16 : x
  2. Step 2: Convert to fraction form
    77,822.30/107,390.37 = 45,994.16/x
  3. Step 3: Cross multiply
    77,822.30x = 107,390.37 × 45,994.16
  4. Step 4: Simplify right side
    77,822.30x = 4,939,329,860.24
  5. Step 5: Solve for x
    x = 4,939,329,860.24/77,822.30
  6. Step 6: Final answer
    x = 63,469.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.