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Finding the Fourth Proportional to 76,983.94, 106,231.80 and 42,989.79

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Solution

The fourth proportional to 76,983.94, 106,231.80 and 42,989.79 is: 59,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,983.94 : 106,231.80 = 42,989.79 : x
  2. Step 2: Convert to fraction form
    76,983.94/106,231.80 = 42,989.79/x
  3. Step 3: Cross multiply
    76,983.94x = 106,231.80 × 42,989.79
  4. Step 4: Simplify right side
    76,983.94x = 4,566,882,773.32
  5. Step 5: Solve for x
    x = 4,566,882,773.32/76,983.94
  6. Step 6: Final answer
    x = 59,322.54

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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.