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Finding the Fourth Proportional to 77,989.45, 107,625.44 and 42,179.46

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Solution

The fourth proportional to 77,989.45, 107,625.44 and 42,179.46 is: 58,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,989.45 : 107,625.44 = 42,179.46 : x
  2. Step 2: Convert to fraction form
    77,989.45/107,625.44 = 42,179.46/x
  3. Step 3: Cross multiply
    77,989.45x = 107,625.44 × 42,179.46
  4. Step 4: Simplify right side
    77,989.45x = 4,539,582,941.46
  5. Step 5: Solve for x
    x = 4,539,582,941.46/77,989.45
  6. Step 6: Final answer
    x = 58,207.66

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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.